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Finding the Fourth Proportional to 584,025.75, 805,956.75 and 315,753.75

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Solution

The fourth proportional to 584,025.75, 805,956.75 and 315,753.75 is: 435,740.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,025.75 : 805,956.75 = 315,753.75 : x
  2. Step 2: Convert to fraction form
    584,025.75/805,956.75 = 315,753.75/x
  3. Step 3: Cross multiply
    584,025.75x = 805,956.75 × 315,753.75
  4. Step 4: Simplify right side
    584,025.75x = 254,483,866,150.31
  5. Step 5: Solve for x
    x = 254,483,866,150.31/584,025.75
  6. Step 6: Final answer
    x = 435,740.83

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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.