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Finding the Fourth Proportional to 415,417.42, 573,292.74 and 234,136.90

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Solution

The fourth proportional to 415,417.42, 573,292.74 and 234,136.90 is: 323,118.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,417.42 : 573,292.74 = 234,136.90 : x
  2. Step 2: Convert to fraction form
    415,417.42/573,292.74 = 234,136.90/x
  3. Step 3: Cross multiply
    415,417.42x = 573,292.74 × 234,136.90
  4. Step 4: Simplify right side
    415,417.42x = 134,228,984,936.11
  5. Step 5: Solve for x
    x = 134,228,984,936.11/415,417.42
  6. Step 6: Final answer
    x = 323,118.33

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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.