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Finding the Fourth Proportional to 520,860.38, 781,368.56 and 188,514.14

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Solution

The fourth proportional to 520,860.38, 781,368.56 and 188,514.14 is: 282,799.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,860.38 : 781,368.56 = 188,514.14 : x
  2. Step 2: Convert to fraction form
    520,860.38/781,368.56 = 188,514.14/x
  3. Step 3: Cross multiply
    520,860.38x = 781,368.56 × 188,514.14
  4. Step 4: Simplify right side
    520,860.38x = 147,299,018,675.88
  5. Step 5: Solve for x
    x = 147,299,018,675.88/520,860.38
  6. Step 6: Final answer
    x = 282,799.43

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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.