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Finding the Fourth Proportional to 296,613.21, 409,347.23 and 169,307.94

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Solution

The fourth proportional to 296,613.21, 409,347.23 and 169,307.94 is: 233,656.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,613.21 : 409,347.23 = 169,307.94 : x
  2. Step 2: Convert to fraction form
    296,613.21/409,347.23 = 169,307.94/x
  3. Step 3: Cross multiply
    296,613.21x = 409,347.23 × 169,307.94
  4. Step 4: Simplify right side
    296,613.21x = 69,305,735,409.47
  5. Step 5: Solve for x
    x = 69,305,735,409.47/296,613.21
  6. Step 6: Final answer
    x = 233,656.94

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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.