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Finding the Fourth Proportional to 482,817.80, 724,313.10 and 202,363.40

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Solution

The fourth proportional to 482,817.80, 724,313.10 and 202,363.40 is: 303,581.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,817.80 : 724,313.10 = 202,363.40 : x
  2. Step 2: Convert to fraction form
    482,817.80/724,313.10 = 202,363.40/x
  3. Step 3: Cross multiply
    482,817.80x = 724,313.10 × 202,363.40
  4. Step 4: Simplify right side
    482,817.80x = 146,574,461,580.54
  5. Step 5: Solve for x
    x = 146,574,461,580.54/482,817.80
  6. Step 6: Final answer
    x = 303,581.31

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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.