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Finding the Fourth Proportional to 497,708.80, 744,813.60 and 347,243.20

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Solution

The fourth proportional to 497,708.80, 744,813.60 and 347,243.20 is: 519,644.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,708.80 : 744,813.60 = 347,243.20 : x
  2. Step 2: Convert to fraction form
    497,708.80/744,813.60 = 347,243.20/x
  3. Step 3: Cross multiply
    497,708.80x = 744,813.60 × 347,243.20
  4. Step 4: Simplify right side
    497,708.80x = 258,631,457,867.52
  5. Step 5: Solve for x
    x = 258,631,457,867.52/497,708.80
  6. Step 6: Final answer
    x = 519,644.13

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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.