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Finding the Fourth Proportional to 442,605.40, 663,908.10 and 147,117.40

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Solution

The fourth proportional to 442,605.40, 663,908.10 and 147,117.40 is: 220,676.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,605.40 : 663,908.10 = 147,117.40 : x
  2. Step 2: Convert to fraction form
    442,605.40/663,908.10 = 147,117.40/x
  3. Step 3: Cross multiply
    442,605.40x = 663,908.10 × 147,117.40
  4. Step 4: Simplify right side
    442,605.40x = 97,672,433,510.94
  5. Step 5: Solve for x
    x = 97,672,433,510.94/442,605.40
  6. Step 6: Final answer
    x = 220,676.10

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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.