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Finding the Fourth Proportional to 650,403.20, 975,896.40 and 295,234.40

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Solution

The fourth proportional to 650,403.20, 975,896.40 and 295,234.40 is: 442,983.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,403.20 : 975,896.40 = 295,234.40 : x
  2. Step 2: Convert to fraction form
    650,403.20/975,896.40 = 295,234.40/x
  3. Step 3: Cross multiply
    650,403.20x = 975,896.40 × 295,234.40
  4. Step 4: Simplify right side
    650,403.20x = 288,118,188,116.16
  5. Step 5: Solve for x
    x = 288,118,188,116.16/650,403.20
  6. Step 6: Final answer
    x = 442,983.96

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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.