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Finding the Fourth Proportional to 423,468.16, 584,659.52 and 262,494.40

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Solution

The fourth proportional to 423,468.16, 584,659.52 and 262,494.40 is: 362,411.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,468.16 : 584,659.52 = 262,494.40 : x
  2. Step 2: Convert to fraction form
    423,468.16/584,659.52 = 262,494.40/x
  3. Step 3: Cross multiply
    423,468.16x = 584,659.52 × 262,494.40
  4. Step 4: Simplify right side
    423,468.16x = 153,469,849,906.69
  5. Step 5: Solve for x
    x = 153,469,849,906.69/423,468.16
  6. Step 6: Final answer
    x = 362,411.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.