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Finding the Fourth Proportional to 541,952.34, 747,891.81 and 312,508.50

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Solution

The fourth proportional to 541,952.34, 747,891.81 and 312,508.50 is: 431,260.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,952.34 : 747,891.81 = 312,508.50 : x
  2. Step 2: Convert to fraction form
    541,952.34/747,891.81 = 312,508.50/x
  3. Step 3: Cross multiply
    541,952.34x = 747,891.81 × 312,508.50
  4. Step 4: Simplify right side
    541,952.34x = 233,722,547,705.39
  5. Step 5: Solve for x
    x = 233,722,547,705.39/541,952.34
  6. Step 6: Final answer
    x = 431,260.34

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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.