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Finding the Fourth Proportional to 372,478.41, 514,004.27 and 202,712.13

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Solution

The fourth proportional to 372,478.41, 514,004.27 and 202,712.13 is: 279,734.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,478.41 : 514,004.27 = 202,712.13 : x
  2. Step 2: Convert to fraction form
    372,478.41/514,004.27 = 202,712.13/x
  3. Step 3: Cross multiply
    372,478.41x = 514,004.27 × 202,712.13
  4. Step 4: Simplify right side
    372,478.41x = 104,194,899,387.23
  5. Step 5: Solve for x
    x = 104,194,899,387.23/372,478.41
  6. Step 6: Final answer
    x = 279,734.06

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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.