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Finding the Fourth Proportional to 415,613.84, 573,535.64 and 234,324.19

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Solution

The fourth proportional to 415,613.84, 573,535.64 and 234,324.19 is: 323,360.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,613.84 : 573,535.64 = 234,324.19 : x
  2. Step 2: Convert to fraction form
    415,613.84/573,535.64 = 234,324.19/x
  3. Step 3: Cross multiply
    415,613.84x = 573,535.64 × 234,324.19
  4. Step 4: Simplify right side
    415,613.84x = 134,393,274,263.79
  5. Step 5: Solve for x
    x = 134,393,274,263.79/415,613.84
  6. Step 6: Final answer
    x = 323,360.93

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.