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Finding the Fourth Proportional to 546,682.74, 819,994.95 and 147,317.10

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Solution

The fourth proportional to 546,682.74, 819,994.95 and 147,317.10 is: 220,967.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,682.74 : 819,994.95 = 147,317.10 : x
  2. Step 2: Convert to fraction form
    546,682.74/819,994.95 = 147,317.10/x
  3. Step 3: Cross multiply
    546,682.74x = 819,994.95 × 147,317.10
  4. Step 4: Simplify right side
    546,682.74x = 120,799,278,048.65
  5. Step 5: Solve for x
    x = 120,799,278,048.65/546,682.74
  6. Step 6: Final answer
    x = 220,967.79

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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.