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Finding the Fourth Proportional to 546,802.80, 820,319.40 and 231,097.20

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Solution

The fourth proportional to 546,802.80, 820,319.40 and 231,097.20 is: 346,694.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,802.80 : 820,319.40 = 231,097.20 : x
  2. Step 2: Convert to fraction form
    546,802.80/820,319.40 = 231,097.20/x
  3. Step 3: Cross multiply
    546,802.80x = 820,319.40 × 231,097.20
  4. Step 4: Simplify right side
    546,802.80x = 189,573,516,445.68
  5. Step 5: Solve for x
    x = 189,573,516,445.68/546,802.80
  6. Step 6: Final answer
    x = 346,694.49

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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.