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Finding the Fourth Proportional to 468,442.65, 702,992.03 and 202,394.10

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Solution

The fourth proportional to 468,442.65, 702,992.03 and 202,394.10 is: 303,732.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,442.65 : 702,992.03 = 202,394.10 : x
  2. Step 2: Convert to fraction form
    468,442.65/702,992.03 = 202,394.10/x
  3. Step 3: Cross multiply
    468,442.65x = 702,992.03 × 202,394.10
  4. Step 4: Simplify right side
    468,442.65x = 142,281,439,219.02
  5. Step 5: Solve for x
    x = 142,281,439,219.02/468,442.65
  6. Step 6: Final answer
    x = 303,732.89

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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.