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Finding the Fourth Proportional to 497,744.80, 746,617.20 and 438,647.20

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Solution

The fourth proportional to 497,744.80, 746,617.20 and 438,647.20 is: 657,970.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,744.80 : 746,617.20 = 438,647.20 : x
  2. Step 2: Convert to fraction form
    497,744.80/746,617.20 = 438,647.20/x
  3. Step 3: Cross multiply
    497,744.80x = 746,617.20 × 438,647.20
  4. Step 4: Simplify right side
    497,744.80x = 327,501,544,251.84
  5. Step 5: Solve for x
    x = 327,501,544,251.84/497,744.80
  6. Step 6: Final answer
    x = 657,970.80

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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.