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Finding the Fourth Proportional to 482,447.40, 724,016.70 and 202,165.80

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Solution

The fourth proportional to 482,447.40, 724,016.70 and 202,165.80 is: 303,393.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,447.40 : 724,016.70 = 202,165.80 : x
  2. Step 2: Convert to fraction form
    482,447.40/724,016.70 = 202,165.80/x
  3. Step 3: Cross multiply
    482,447.40x = 724,016.70 × 202,165.80
  4. Step 4: Simplify right side
    482,447.40x = 146,371,415,368.86
  5. Step 5: Solve for x
    x = 146,371,415,368.86/482,447.40
  6. Step 6: Final answer
    x = 303,393.52

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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.