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Finding the Fourth Proportional to 476,165.92, 714,228.40 and 143,732

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Solution

The fourth proportional to 476,165.92, 714,228.40 and 143,732 is: 215,591.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,165.92 : 714,228.40 = 143,732 : x
  2. Step 2: Convert to fraction form
    476,165.92/714,228.40 = 143,732/x
  3. Step 3: Cross multiply
    476,165.92x = 714,228.40 × 143,732
  4. Step 4: Simplify right side
    476,165.92x = 102,657,476,388.80
  5. Step 5: Solve for x
    x = 102,657,476,388.80/476,165.92
  6. Step 6: Final answer
    x = 215,591.82

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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.