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Finding the Fourth Proportional to 492,424.65, 738,582.30 and 403,523.10

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Solution

The fourth proportional to 492,424.65, 738,582.30 and 403,523.10 is: 605,239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,424.65 : 738,582.30 = 403,523.10 : x
  2. Step 2: Convert to fraction form
    492,424.65/738,582.30 = 403,523.10/x
  3. Step 3: Cross multiply
    492,424.65x = 738,582.30 × 403,523.10
  4. Step 4: Simplify right side
    492,424.65x = 298,035,019,301.13
  5. Step 5: Solve for x
    x = 298,035,019,301.13/492,424.65
  6. Step 6: Final answer
    x = 605,239.85

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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.