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Finding the Fourth Proportional to 284,361.72, 392,416 and 157,034.76

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Solution

The fourth proportional to 284,361.72, 392,416 and 157,034.76 is: 216,706.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,361.72 : 392,416 = 157,034.76 : x
  2. Step 2: Convert to fraction form
    284,361.72/392,416 = 157,034.76/x
  3. Step 3: Cross multiply
    284,361.72x = 392,416 × 157,034.76
  4. Step 4: Simplify right side
    284,361.72x = 61,622,952,380.16
  5. Step 5: Solve for x
    x = 61,622,952,380.16/284,361.72
  6. Step 6: Final answer
    x = 216,706.22

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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.