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Finding the Fourth Proportional to 567,338.04, 782,924.13 and 312,689.16

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Solution

The fourth proportional to 567,338.04, 782,924.13 and 312,689.16 is: 431,509.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,338.04 : 782,924.13 = 312,689.16 : x
  2. Step 2: Convert to fraction form
    567,338.04/782,924.13 = 312,689.16/x
  3. Step 3: Cross multiply
    567,338.04x = 782,924.13 × 312,689.16
  4. Step 4: Simplify right side
    567,338.04x = 244,811,888,553.43
  5. Step 5: Solve for x
    x = 244,811,888,553.43/567,338.04
  6. Step 6: Final answer
    x = 431,509.74

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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.