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Finding the Fourth Proportional to 482,820.40, 724,403.40 and 202,423.60

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Solution

The fourth proportional to 482,820.40, 724,403.40 and 202,423.60 is: 303,707.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,820.40 : 724,403.40 = 202,423.60 : x
  2. Step 2: Convert to fraction form
    482,820.40/724,403.40 = 202,423.60/x
  3. Step 3: Cross multiply
    482,820.40x = 724,403.40 × 202,423.60
  4. Step 4: Simplify right side
    482,820.40x = 146,636,344,080.24
  5. Step 5: Solve for x
    x = 146,636,344,080.24/482,820.40
  6. Step 6: Final answer
    x = 303,707.85

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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.