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Finding the Fourth Proportional to 541,007.48, 746,646.38 and 311,572.96

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Solution

The fourth proportional to 541,007.48, 746,646.38 and 311,572.96 is: 430,002.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,007.48 : 746,646.38 = 311,572.96 : x
  2. Step 2: Convert to fraction form
    541,007.48/746,646.38 = 311,572.96/x
  3. Step 3: Cross multiply
    541,007.48x = 746,646.38 × 311,572.96
  4. Step 4: Simplify right side
    541,007.48x = 232,634,822,689.89
  5. Step 5: Solve for x
    x = 232,634,822,689.89/541,007.48
  6. Step 6: Final answer
    x = 430,002.97

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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.