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Finding the Fourth Proportional to 650,589.50, 975,641.86 and 224,006.04

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Solution

The fourth proportional to 650,589.50, 975,641.86 and 224,006.04 is: 335,925.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,589.50 : 975,641.86 = 224,006.04 : x
  2. Step 2: Convert to fraction form
    650,589.50/975,641.86 = 224,006.04/x
  3. Step 3: Cross multiply
    650,589.50x = 975,641.86 × 224,006.04
  4. Step 4: Simplify right side
    650,589.50x = 218,549,669,796.84
  5. Step 5: Solve for x
    x = 218,549,669,796.84/650,589.50
  6. Step 6: Final answer
    x = 335,925.60

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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.