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Finding the Fourth Proportional to 384,073.80, 575,624.70 and 147,100.20

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Solution

The fourth proportional to 384,073.80, 575,624.70 and 147,100.20 is: 220,464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,073.80 : 575,624.70 = 147,100.20 : x
  2. Step 2: Convert to fraction form
    384,073.80/575,624.70 = 147,100.20/x
  3. Step 3: Cross multiply
    384,073.80x = 575,624.70 × 147,100.20
  4. Step 4: Simplify right side
    384,073.80x = 84,674,508,494.94
  5. Step 5: Solve for x
    x = 84,674,508,494.94/384,073.80
  6. Step 6: Final answer
    x = 220,464.16

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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.