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Finding the Fourth Proportional to 468,414.90, 702,950.40 and 202,366.35

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Solution

The fourth proportional to 468,414.90, 702,950.40 and 202,366.35 is: 303,691.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,414.90 : 702,950.40 = 202,366.35 : x
  2. Step 2: Convert to fraction form
    468,414.90/702,950.40 = 202,366.35/x
  3. Step 3: Cross multiply
    468,414.90x = 702,950.40 × 202,366.35
  4. Step 4: Simplify right side
    468,414.90x = 142,253,506,679.04
  5. Step 5: Solve for x
    x = 142,253,506,679.04/468,414.90
  6. Step 6: Final answer
    x = 303,691.25

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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.