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Finding the Fourth Proportional to 468,433.42, 702,545.01 and 215,470.96

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Solution

The fourth proportional to 468,433.42, 702,545.01 and 215,470.96 is: 323,158.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,433.42 : 702,545.01 = 215,470.96 : x
  2. Step 2: Convert to fraction form
    468,433.42/702,545.01 = 215,470.96/x
  3. Step 3: Cross multiply
    468,433.42x = 702,545.01 × 215,470.96
  4. Step 4: Simplify right side
    468,433.42x = 151,378,047,747.91
  5. Step 5: Solve for x
    x = 151,378,047,747.91/468,433.42
  6. Step 6: Final answer
    x = 323,158.09

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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.