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Finding the Fourth Proportional to 482,802.90, 724,377.15 and 202,406.10

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Solution

The fourth proportional to 482,802.90, 724,377.15 and 202,406.10 is: 303,681.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,802.90 : 724,377.15 = 202,406.10 : x
  2. Step 2: Convert to fraction form
    482,802.90/724,377.15 = 202,406.10/x
  3. Step 3: Cross multiply
    482,802.90x = 724,377.15 × 202,406.10
  4. Step 4: Simplify right side
    482,802.90x = 146,618,353,860.62
  5. Step 5: Solve for x
    x = 146,618,353,860.62/482,802.90
  6. Step 6: Final answer
    x = 303,681.59

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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.