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Finding the Fourth Proportional to 384,061.60, 575,919.60 and 147,325.60

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Solution

The fourth proportional to 384,061.60, 575,919.60 and 147,325.60 is: 220,922.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,061.60 : 575,919.60 = 147,325.60 : x
  2. Step 2: Convert to fraction form
    384,061.60/575,919.60 = 147,325.60/x
  3. Step 3: Cross multiply
    384,061.60x = 575,919.60 × 147,325.60
  4. Step 4: Simplify right side
    384,061.60x = 84,847,700,621.76
  5. Step 5: Solve for x
    x = 84,847,700,621.76/384,061.60
  6. Step 6: Final answer
    x = 220,922.11

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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.