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Finding the Fourth Proportional to 435,812.54, 652,312.64 and 225,160.70

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Solution

The fourth proportional to 435,812.54, 652,312.64 and 225,160.70 is: 337,014.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,812.54 : 652,312.64 = 225,160.70 : x
  2. Step 2: Convert to fraction form
    435,812.54/652,312.64 = 225,160.70/x
  3. Step 3: Cross multiply
    435,812.54x = 652,312.64 × 225,160.70
  4. Step 4: Simplify right side
    435,812.54x = 146,875,170,641.25
  5. Step 5: Solve for x
    x = 146,875,170,641.25/435,812.54
  6. Step 6: Final answer
    x = 337,014.56

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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.