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Finding the Fourth Proportional to 462,158.40, 692,340.48 and 261,863.04

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Solution

The fourth proportional to 462,158.40, 692,340.48 and 261,863.04 is: 392,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,158.40 : 692,340.48 = 261,863.04 : x
  2. Step 2: Convert to fraction form
    462,158.40/692,340.48 = 261,863.04/x
  3. Step 3: Cross multiply
    462,158.40x = 692,340.48 × 261,863.04
  4. Step 4: Simplify right side
    462,158.40x = 181,298,382,807.86
  5. Step 5: Solve for x
    x = 181,298,382,807.86/462,158.40
  6. Step 6: Final answer
    x = 392,286.24

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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.