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Finding the Fourth Proportional to 288,254.70, 432,382.05 and 101,266.20

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Solution

The fourth proportional to 288,254.70, 432,382.05 and 101,266.20 is: 151,899.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,254.70 : 432,382.05 = 101,266.20 : x
  2. Step 2: Convert to fraction form
    288,254.70/432,382.05 = 101,266.20/x
  3. Step 3: Cross multiply
    288,254.70x = 432,382.05 × 101,266.20
  4. Step 4: Simplify right side
    288,254.70x = 43,785,687,151.71
  5. Step 5: Solve for x
    x = 43,785,687,151.71/288,254.70
  6. Step 6: Final answer
    x = 151,899.30

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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.