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Finding the Fourth Proportional to 647,095.20, 970,412.40 and 292,279.20

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Solution

The fourth proportional to 647,095.20, 970,412.40 and 292,279.20 is: 438,314.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,095.20 : 970,412.40 = 292,279.20 : x
  2. Step 2: Convert to fraction form
    647,095.20/970,412.40 = 292,279.20/x
  3. Step 3: Cross multiply
    647,095.20x = 970,412.40 × 292,279.20
  4. Step 4: Simplify right side
    647,095.20x = 283,631,359,942.08
  5. Step 5: Solve for x
    x = 283,631,359,942.08/647,095.20
  6. Step 6: Final answer
    x = 438,314.73

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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.