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Finding the Fourth Proportional to 498,410.63, 687,806.49 and 272,056.13

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Solution

The fourth proportional to 498,410.63, 687,806.49 and 272,056.13 is: 375,437.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,410.63 : 687,806.49 = 272,056.13 : x
  2. Step 2: Convert to fraction form
    498,410.63/687,806.49 = 272,056.13/x
  3. Step 3: Cross multiply
    498,410.63x = 687,806.49 × 272,056.13
  4. Step 4: Simplify right side
    498,410.63x = 187,121,971,858.28
  5. Step 5: Solve for x
    x = 187,121,971,858.28/498,410.63
  6. Step 6: Final answer
    x = 375,437.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.