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Finding the Fourth Proportional to 520,864.76, 781,375.14 and 188,518.52

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Solution

The fourth proportional to 520,864.76, 781,375.14 and 188,518.52 is: 282,806.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,864.76 : 781,375.14 = 188,518.52 : x
  2. Step 2: Convert to fraction form
    520,864.76/781,375.14 = 188,518.52/x
  3. Step 3: Cross multiply
    520,864.76x = 781,375.14 × 188,518.52
  4. Step 4: Simplify right side
    520,864.76x = 147,303,684,957.59
  5. Step 5: Solve for x
    x = 147,303,684,957.59/520,864.76
  6. Step 6: Final answer
    x = 282,806.01

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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.