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Finding the Fourth Proportional to 296,614.16, 409,356.93 and 169,308.89

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Solution

The fourth proportional to 296,614.16, 409,356.93 and 169,308.89 is: 233,663.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,614.16 : 409,356.93 = 169,308.89 : x
  2. Step 2: Convert to fraction form
    296,614.16/409,356.93 = 169,308.89/x
  3. Step 3: Cross multiply
    296,614.16x = 409,356.93 × 169,308.89
  4. Step 4: Simplify right side
    296,614.16x = 69,307,767,432.11
  5. Step 5: Solve for x
    x = 69,307,767,432.11/296,614.16
  6. Step 6: Final answer
    x = 233,663.04

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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.