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Finding the Fourth Proportional to 296,411.10, 444,681.45 and 146,723.10

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Solution

The fourth proportional to 296,411.10, 444,681.45 and 146,723.10 is: 220,116.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,411.10 : 444,681.45 = 146,723.10 : x
  2. Step 2: Convert to fraction form
    296,411.10/444,681.45 = 146,723.10/x
  3. Step 3: Cross multiply
    296,411.10x = 444,681.45 × 146,723.10
  4. Step 4: Simplify right side
    296,411.10x = 65,245,040,856.50
  5. Step 5: Solve for x
    x = 65,245,040,856.50/296,411.10
  6. Step 6: Final answer
    x = 220,116.73

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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.