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Finding the Fourth Proportional to 468,416.40, 702,952.65 and 202,367.85

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Solution

The fourth proportional to 468,416.40, 702,952.65 and 202,367.85 is: 303,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,416.40 : 702,952.65 = 202,367.85 : x
  2. Step 2: Convert to fraction form
    468,416.40/702,952.65 = 202,367.85/x
  3. Step 3: Cross multiply
    468,416.40x = 702,952.65 × 202,367.85
  4. Step 4: Simplify right side
    468,416.40x = 142,255,016,432.30
  5. Step 5: Solve for x
    x = 142,255,016,432.30/468,416.40
  6. Step 6: Final answer
    x = 303,693.50

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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.