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Finding the Fourth Proportional to 442,337.50, 663,506.25 and 146,849.50

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Solution

The fourth proportional to 442,337.50, 663,506.25 and 146,849.50 is: 220,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,337.50 : 663,506.25 = 146,849.50 : x
  2. Step 2: Convert to fraction form
    442,337.50/663,506.25 = 146,849.50/x
  3. Step 3: Cross multiply
    442,337.50x = 663,506.25 × 146,849.50
  4. Step 4: Simplify right side
    442,337.50x = 97,435,561,059.38
  5. Step 5: Solve for x
    x = 97,435,561,059.38/442,337.50
  6. Step 6: Final answer
    x = 220,274.25

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1.5x scale

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.