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Finding the Fourth Proportional to 442,043.80, 663,065.70 and 146,555.80

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Solution

The fourth proportional to 442,043.80, 663,065.70 and 146,555.80 is: 219,833.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,043.80 : 663,065.70 = 146,555.80 : x
  2. Step 2: Convert to fraction form
    442,043.80/663,065.70 = 146,555.80/x
  3. Step 3: Cross multiply
    442,043.80x = 663,065.70 × 146,555.80
  4. Step 4: Simplify right side
    442,043.80x = 97,176,124,116.06
  5. Step 5: Solve for x
    x = 97,176,124,116.06/442,043.80
  6. Step 6: Final answer
    x = 219,833.70

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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.