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Finding the Fourth Proportional to 520,716, 781,151.76 and 188,369.76

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Solution

The fourth proportional to 520,716, 781,151.76 and 188,369.76 is: 282,582.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,716 : 781,151.76 = 188,369.76 : x
  2. Step 2: Convert to fraction form
    520,716/781,151.76 = 188,369.76/x
  3. Step 3: Cross multiply
    520,716x = 781,151.76 × 188,369.76
  4. Step 4: Simplify right side
    520,716x = 147,145,369,554.78
  5. Step 5: Solve for x
    x = 147,145,369,554.78/520,716
  6. Step 6: Final answer
    x = 282,582.77

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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.