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Finding the Fourth Proportional to 535,294.68, 802,687.78 and 310,723.95

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Solution

The fourth proportional to 535,294.68, 802,687.78 and 310,723.95 is: 465,938.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,294.68 : 802,687.78 = 310,723.95 : x
  2. Step 2: Convert to fraction form
    535,294.68/802,687.78 = 310,723.95/x
  3. Step 3: Cross multiply
    535,294.68x = 802,687.78 × 310,723.95
  4. Step 4: Simplify right side
    535,294.68x = 249,414,314,753.87
  5. Step 5: Solve for x
    x = 249,414,314,753.87/535,294.68
  6. Step 6: Final answer
    x = 465,938.34

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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.