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Finding the Fourth Proportional to 574,296.40, 861,444.60 and 200,319.40

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Solution

The fourth proportional to 574,296.40, 861,444.60 and 200,319.40 is: 300,479.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,296.40 : 861,444.60 = 200,319.40 : x
  2. Step 2: Convert to fraction form
    574,296.40/861,444.60 = 200,319.40/x
  3. Step 3: Cross multiply
    574,296.40x = 861,444.60 × 200,319.40
  4. Step 4: Simplify right side
    574,296.40x = 172,564,065,405.24
  5. Step 5: Solve for x
    x = 172,564,065,405.24/574,296.40
  6. Step 6: Final answer
    x = 300,479.10

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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.