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Finding the Fourth Proportional to 546,689.60, 820,034.40 and 335,643.20

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Solution

The fourth proportional to 546,689.60, 820,034.40 and 335,643.20 is: 503,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,689.60 : 820,034.40 = 335,643.20 : x
  2. Step 2: Convert to fraction form
    546,689.60/820,034.40 = 335,643.20/x
  3. Step 3: Cross multiply
    546,689.60x = 820,034.40 × 335,643.20
  4. Step 4: Simplify right side
    546,689.60x = 275,238,970,126.08
  5. Step 5: Solve for x
    x = 275,238,970,126.08/546,689.60
  6. Step 6: Final answer
    x = 503,464.80

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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.