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Finding the Fourth Proportional to 520,658.57, 780,096.31 and 284,167.19

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Solution

The fourth proportional to 520,658.57, 780,096.31 and 284,167.19 is: 425,764.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,658.57 : 780,096.31 = 284,167.19 : x
  2. Step 2: Convert to fraction form
    520,658.57/780,096.31 = 284,167.19/x
  3. Step 3: Cross multiply
    520,658.57x = 780,096.31 × 284,167.19
  4. Step 4: Simplify right side
    520,658.57x = 221,677,776,342.07
  5. Step 5: Solve for x
    x = 221,677,776,342.07/520,658.57
  6. Step 6: Final answer
    x = 425,764.19

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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.