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Finding the Fourth Proportional to 305,165.70, 457,748.55 and 147,410.10

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Solution

The fourth proportional to 305,165.70, 457,748.55 and 147,410.10 is: 221,115.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,165.70 : 457,748.55 = 147,410.10 : x
  2. Step 2: Convert to fraction form
    305,165.70/457,748.55 = 147,410.10/x
  3. Step 3: Cross multiply
    305,165.70x = 457,748.55 × 147,410.10
  4. Step 4: Simplify right side
    305,165.70x = 67,476,759,530.36
  5. Step 5: Solve for x
    x = 67,476,759,530.36/305,165.70
  6. Step 6: Final answer
    x = 221,115.15

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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.