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Finding the Fourth Proportional to 442,953.70, 664,430.55 and 162,580.30

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Solution

The fourth proportional to 442,953.70, 664,430.55 and 162,580.30 is: 243,870.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,953.70 : 664,430.55 = 162,580.30 : x
  2. Step 2: Convert to fraction form
    442,953.70/664,430.55 = 162,580.30/x
  3. Step 3: Cross multiply
    442,953.70x = 664,430.55 × 162,580.30
  4. Step 4: Simplify right side
    442,953.70x = 108,023,318,148.17
  5. Step 5: Solve for x
    x = 108,023,318,148.17/442,953.70
  6. Step 6: Final answer
    x = 243,870.45

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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.