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Finding the Fourth Proportional to 284,689.53, 392,856.21 and 157,357.53

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Solution

The fourth proportional to 284,689.53, 392,856.21 and 157,357.53 is: 217,144.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,689.53 : 392,856.21 = 157,357.53 : x
  2. Step 2: Convert to fraction form
    284,689.53/392,856.21 = 157,357.53/x
  3. Step 3: Cross multiply
    284,689.53x = 392,856.21 × 157,357.53
  4. Step 4: Simplify right side
    284,689.53x = 61,818,882,850.76
  5. Step 5: Solve for x
    x = 61,818,882,850.76/284,689.53
  6. Step 6: Final answer
    x = 217,144.91

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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.