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Finding the Fourth Proportional to 462,977.66, 694,416.47 and 147,409.76

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Solution

The fourth proportional to 462,977.66, 694,416.47 and 147,409.76 is: 221,098.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,977.66 : 694,416.47 = 147,409.76 : x
  2. Step 2: Convert to fraction form
    462,977.66/694,416.47 = 147,409.76/x
  3. Step 3: Cross multiply
    462,977.66x = 694,416.47 × 147,409.76
  4. Step 4: Simplify right side
    462,977.66x = 102,363,760,973.62
  5. Step 5: Solve for x
    x = 102,363,760,973.62/462,977.66
  6. Step 6: Final answer
    x = 221,098.71

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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.