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Finding the Fourth Proportional to 452,266.28, 678,468.66 and 148,565

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Solution

The fourth proportional to 452,266.28, 678,468.66 and 148,565 is: 222,870.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,266.28 : 678,468.66 = 148,565 : x
  2. Step 2: Convert to fraction form
    452,266.28/678,468.66 = 148,565/x
  3. Step 3: Cross multiply
    452,266.28x = 678,468.66 × 148,565
  4. Step 4: Simplify right side
    452,266.28x = 100,796,696,472.90
  5. Step 5: Solve for x
    x = 100,796,696,472.90/452,266.28
  6. Step 6: Final answer
    x = 222,870.24

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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.