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Finding the Fourth Proportional to 561,002.04, 774,182.12 and 331,642

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Solution

The fourth proportional to 561,002.04, 774,182.12 and 331,642 is: 457,665.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,002.04 : 774,182.12 = 331,642 : x
  2. Step 2: Convert to fraction form
    561,002.04/774,182.12 = 331,642/x
  3. Step 3: Cross multiply
    561,002.04x = 774,182.12 × 331,642
  4. Step 4: Simplify right side
    561,002.04x = 256,751,306,641.04
  5. Step 5: Solve for x
    x = 256,751,306,641.04/561,002.04
  6. Step 6: Final answer
    x = 457,665.55

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