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Finding the Fourth Proportional to 732,070.92, 1,098,074 and 199,592

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Solution

The fourth proportional to 732,070.92, 1,098,074 and 199,592 is: 299,379.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,070.92 : 1,098,074 = 199,592 : x
  2. Step 2: Convert to fraction form
    732,070.92/1,098,074 = 199,592/x
  3. Step 3: Cross multiply
    732,070.92x = 1,098,074 × 199,592
  4. Step 4: Simplify right side
    732,070.92x = 219,166,785,808
  5. Step 5: Solve for x
    x = 219,166,785,808/732,070.92
  6. Step 6: Final answer
    x = 299,379.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.