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Finding the Fourth Proportional to 498,907.26, 748,270.98 and 143,834.04

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Solution

The fourth proportional to 498,907.26, 748,270.98 and 143,834.04 is: 215,725.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,907.26 : 748,270.98 = 143,834.04 : x
  2. Step 2: Convert to fraction form
    498,907.26/748,270.98 = 143,834.04/x
  3. Step 3: Cross multiply
    498,907.26x = 748,270.98 × 143,834.04
  4. Step 4: Simplify right side
    498,907.26x = 107,626,838,068.16
  5. Step 5: Solve for x
    x = 107,626,838,068.16/498,907.26
  6. Step 6: Final answer
    x = 215,725.14

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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.