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Finding the Fourth Proportional to 284,493.40, 392,597.94 and 157,160.68

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Solution

The fourth proportional to 284,493.40, 392,597.94 and 157,160.68 is: 216,880.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,493.40 : 392,597.94 = 157,160.68 : x
  2. Step 2: Convert to fraction form
    284,493.40/392,597.94 = 157,160.68/x
  3. Step 3: Cross multiply
    284,493.40x = 392,597.94 × 157,160.68
  4. Step 4: Simplify right side
    284,493.40x = 61,700,959,217.00
  5. Step 5: Solve for x
    x = 61,700,959,217.00/284,493.40
  6. Step 6: Final answer
    x = 216,880.11

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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.