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Finding the Fourth Proportional to 328,898.50, 493,425.75 and 107,282.50

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Solution

The fourth proportional to 328,898.50, 493,425.75 and 107,282.50 is: 160,949.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,898.50 : 493,425.75 = 107,282.50 : x
  2. Step 2: Convert to fraction form
    328,898.50/493,425.75 = 107,282.50/x
  3. Step 3: Cross multiply
    328,898.50x = 493,425.75 × 107,282.50
  4. Step 4: Simplify right side
    328,898.50x = 52,935,948,024.38
  5. Step 5: Solve for x
    x = 52,935,948,024.38/328,898.50
  6. Step 6: Final answer
    x = 160,949.19

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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.