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Finding the Fourth Proportional to 520,682.86, 780,132.65 and 284,191.50

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Solution

The fourth proportional to 520,682.86, 780,132.65 and 284,191.50 is: 425,800.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,682.86 : 780,132.65 = 284,191.50 : x
  2. Step 2: Convert to fraction form
    520,682.86/780,132.65 = 284,191.50/x
  3. Step 3: Cross multiply
    520,682.86x = 780,132.65 × 284,191.50
  4. Step 4: Simplify right side
    520,682.86x = 221,707,068,002.48
  5. Step 5: Solve for x
    x = 221,707,068,002.48/520,682.86
  6. Step 6: Final answer
    x = 425,800.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.