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Finding the Fourth Proportional to 541,437.88, 746,857.38 and 347,780.40

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Solution

The fourth proportional to 541,437.88, 746,857.38 and 347,780.40 is: 479,726.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,437.88 : 746,857.38 = 347,780.40 : x
  2. Step 2: Convert to fraction form
    541,437.88/746,857.38 = 347,780.40/x
  3. Step 3: Cross multiply
    541,437.88x = 746,857.38 × 347,780.40
  4. Step 4: Simplify right side
    541,437.88x = 259,742,358,359.35
  5. Step 5: Solve for x
    x = 259,742,358,359.35/541,437.88
  6. Step 6: Final answer
    x = 479,726.98

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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.