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Finding the Fourth Proportional to 714,422.32, 985,902.42 and 404,319.28

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Solution

The fourth proportional to 714,422.32, 985,902.42 and 404,319.28 is: 557,960.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,422.32 : 985,902.42 = 404,319.28 : x
  2. Step 2: Convert to fraction form
    714,422.32/985,902.42 = 404,319.28/x
  3. Step 3: Cross multiply
    714,422.32x = 985,902.42 × 404,319.28
  4. Step 4: Simplify right side
    714,422.32x = 398,619,353,594.67
  5. Step 5: Solve for x
    x = 398,619,353,594.67/714,422.32
  6. Step 6: Final answer
    x = 557,960.39

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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.