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Finding the Fourth Proportional to 284,059.57, 392,200.37 and 176,677.87

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Solution

The fourth proportional to 284,059.57, 392,200.37 and 176,677.87 is: 243,938.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,059.57 : 392,200.37 = 176,677.87 : x
  2. Step 2: Convert to fraction form
    284,059.57/392,200.37 = 176,677.87/x
  3. Step 3: Cross multiply
    284,059.57x = 392,200.37 × 176,677.87
  4. Step 4: Simplify right side
    284,059.57x = 69,293,125,984.81
  5. Step 5: Solve for x
    x = 69,293,125,984.81/284,059.57
  6. Step 6: Final answer
    x = 243,938.71

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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.