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Finding the Fourth Proportional to 498,195.59, 747,418.52 and 143,210.25

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Solution

The fourth proportional to 498,195.59, 747,418.52 and 143,210.25 is: 214,851.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,195.59 : 747,418.52 = 143,210.25 : x
  2. Step 2: Convert to fraction form
    498,195.59/747,418.52 = 143,210.25/x
  3. Step 3: Cross multiply
    498,195.59x = 747,418.52 × 143,210.25
  4. Step 4: Simplify right side
    498,195.59x = 107,037,993,461.86
  5. Step 5: Solve for x
    x = 107,037,993,461.86/498,195.59
  6. Step 6: Final answer
    x = 214,851.35

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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.