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Finding the Fourth Proportional to 863,545.50, 1,294,678.53 and 413,838.17

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Solution

The fourth proportional to 863,545.50, 1,294,678.53 and 413,838.17 is: 620,450.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,545.50 : 1,294,678.53 = 413,838.17 : x
  2. Step 2: Convert to fraction form
    863,545.50/1,294,678.53 = 413,838.17/x
  3. Step 3: Cross multiply
    863,545.50x = 1,294,678.53 × 413,838.17
  4. Step 4: Simplify right side
    863,545.50x = 535,787,387,120.10
  5. Step 5: Solve for x
    x = 535,787,387,120.10/863,545.50
  6. Step 6: Final answer
    x = 620,450.67

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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.