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Finding the Fourth Proportional to 400,298.87, 600,282.16 and 147,593.81

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Solution

The fourth proportional to 400,298.87, 600,282.16 and 147,593.81 is: 221,329.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,298.87 : 600,282.16 = 147,593.81 : x
  2. Step 2: Convert to fraction form
    400,298.87/600,282.16 = 147,593.81/x
  3. Step 3: Cross multiply
    400,298.87x = 600,282.16 × 147,593.81
  4. Step 4: Simplify right side
    400,298.87x = 88,597,931,069.43
  5. Step 5: Solve for x
    x = 88,597,931,069.43/400,298.87
  6. Step 6: Final answer
    x = 221,329.46

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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.