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Finding the Fourth Proportional to 520,713.60, 781,070.40 and 188,211.84

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Solution

The fourth proportional to 520,713.60, 781,070.40 and 188,211.84 is: 282,317.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,713.60 : 781,070.40 = 188,211.84 : x
  2. Step 2: Convert to fraction form
    520,713.60/781,070.40 = 188,211.84/x
  3. Step 3: Cross multiply
    520,713.60x = 781,070.40 × 188,211.84
  4. Step 4: Simplify right side
    520,713.60x = 147,006,697,153.54
  5. Step 5: Solve for x
    x = 147,006,697,153.54/520,713.60
  6. Step 6: Final answer
    x = 282,317.76

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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.