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Finding the Fourth Proportional to 650,230.20, 974,567.70 and 334,524.60

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Solution

The fourth proportional to 650,230.20, 974,567.70 and 334,524.60 is: 501,386.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,230.20 : 974,567.70 = 334,524.60 : x
  2. Step 2: Convert to fraction form
    650,230.20/974,567.70 = 334,524.60/x
  3. Step 3: Cross multiply
    650,230.20x = 974,567.70 × 334,524.60
  4. Step 4: Simplify right side
    650,230.20x = 326,016,870,015.42
  5. Step 5: Solve for x
    x = 326,016,870,015.42/650,230.20
  6. Step 6: Final answer
    x = 501,386.85

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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.