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Finding the Fourth Proportional to 434,696.80, 652,045.20 and 224,744.80

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Solution

The fourth proportional to 434,696.80, 652,045.20 and 224,744.80 is: 337,117.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,696.80 : 652,045.20 = 224,744.80 : x
  2. Step 2: Convert to fraction form
    434,696.80/652,045.20 = 224,744.80/x
  3. Step 3: Cross multiply
    434,696.80x = 652,045.20 × 224,744.80
  4. Step 4: Simplify right side
    434,696.80x = 146,543,768,064.96
  5. Step 5: Solve for x
    x = 146,543,768,064.96/434,696.80
  6. Step 6: Final answer
    x = 337,117.20

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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.