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Finding the Fourth Proportional to 567,212.24, 782,758.14 and 312,572.54

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Solution

The fourth proportional to 567,212.24, 782,758.14 and 312,572.54 is: 431,353.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,212.24 : 782,758.14 = 312,572.54 : x
  2. Step 2: Convert to fraction form
    567,212.24/782,758.14 = 312,572.54/x
  3. Step 3: Cross multiply
    567,212.24x = 782,758.14 × 312,572.54
  4. Step 4: Simplify right side
    567,212.24x = 244,668,700,025.48
  5. Step 5: Solve for x
    x = 244,668,700,025.48/567,212.24
  6. Step 6: Final answer
    x = 431,353.00

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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.