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Finding the Fourth Proportional to 284,807.61, 393,042.38 and 157,487.76

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Solution

The fourth proportional to 284,807.61, 393,042.38 and 157,487.76 is: 217,337.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,807.61 : 393,042.38 = 157,487.76 : x
  2. Step 2: Convert to fraction form
    284,807.61/393,042.38 = 157,487.76/x
  3. Step 3: Cross multiply
    284,807.61x = 393,042.38 × 157,487.76
  4. Step 4: Simplify right side
    284,807.61x = 61,899,363,223.83
  5. Step 5: Solve for x
    x = 61,899,363,223.83/284,807.61
  6. Step 6: Final answer
    x = 217,337.46

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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.