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Finding the Fourth Proportional to 343,319.40, 514,979.10 and 324,948.60

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Solution

The fourth proportional to 343,319.40, 514,979.10 and 324,948.60 is: 487,422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,319.40 : 514,979.10 = 324,948.60 : x
  2. Step 2: Convert to fraction form
    343,319.40/514,979.10 = 324,948.60/x
  3. Step 3: Cross multiply
    343,319.40x = 514,979.10 × 324,948.60
  4. Step 4: Simplify right side
    343,319.40x = 167,341,737,574.26
  5. Step 5: Solve for x
    x = 167,341,737,574.26/343,319.40
  6. Step 6: Final answer
    x = 487,422.90

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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.