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Finding the Fourth Proportional to 423,761.44, 584,822.16 and 262,648.16

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Solution

The fourth proportional to 423,761.44, 584,822.16 and 262,648.16 is: 362,473.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,761.44 : 584,822.16 = 262,648.16 : x
  2. Step 2: Convert to fraction form
    423,761.44/584,822.16 = 262,648.16/x
  3. Step 3: Cross multiply
    423,761.44x = 584,822.16 × 262,648.16
  4. Step 4: Simplify right side
    423,761.44x = 153,602,464,251.23
  5. Step 5: Solve for x
    x = 153,602,464,251.23/423,761.44
  6. Step 6: Final answer
    x = 362,473.91

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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.