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Finding the Fourth Proportional to 516,763.70, 775,095.40 and 156,937.65

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Solution

The fourth proportional to 516,763.70, 775,095.40 and 156,937.65 is: 235,391.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,763.70 : 775,095.40 = 156,937.65 : x
  2. Step 2: Convert to fraction form
    516,763.70/775,095.40 = 156,937.65/x
  3. Step 3: Cross multiply
    516,763.70x = 775,095.40 × 156,937.65
  4. Step 4: Simplify right side
    516,763.70x = 121,641,650,601.81
  5. Step 5: Solve for x
    x = 121,641,650,601.81/516,763.70
  6. Step 6: Final answer
    x = 235,391.24

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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.