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Finding the Fourth Proportional to 430,680.70, 645,545.30 and 177,821.78

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Solution

The fourth proportional to 430,680.70, 645,545.30 and 177,821.78 is: 266,536.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,680.70 : 645,545.30 = 177,821.78 : x
  2. Step 2: Convert to fraction form
    430,680.70/645,545.30 = 177,821.78/x
  3. Step 3: Cross multiply
    430,680.70x = 645,545.30 × 177,821.78
  4. Step 4: Simplify right side
    430,680.70x = 114,792,014,316.63
  5. Step 5: Solve for x
    x = 114,792,014,316.63/430,680.70
  6. Step 6: Final answer
    x = 266,536.24

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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.