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Finding the Fourth Proportional to 492,095.20, 738,142.80 and 403,448.80

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Solution

The fourth proportional to 492,095.20, 738,142.80 and 403,448.80 is: 605,173.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,095.20 : 738,142.80 = 403,448.80 : x
  2. Step 2: Convert to fraction form
    492,095.20/738,142.80 = 403,448.80/x
  3. Step 3: Cross multiply
    492,095.20x = 738,142.80 × 403,448.80
  4. Step 4: Simplify right side
    492,095.20x = 297,802,826,888.64
  5. Step 5: Solve for x
    x = 297,802,826,888.64/492,095.20
  6. Step 6: Final answer
    x = 605,173.20

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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.