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Finding the Fourth Proportional to 546,752.24, 754,518.56 and 305,034.86

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Solution

The fourth proportional to 546,752.24, 754,518.56 and 305,034.86 is: 420,948.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,752.24 : 754,518.56 = 305,034.86 : x
  2. Step 2: Convert to fraction form
    546,752.24/754,518.56 = 305,034.86/x
  3. Step 3: Cross multiply
    546,752.24x = 754,518.56 × 305,034.86
  4. Step 4: Simplify right side
    546,752.24x = 230,154,465,393.95
  5. Step 5: Solve for x
    x = 230,154,465,393.95/546,752.24
  6. Step 6: Final answer
    x = 420,948.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.