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Finding the Fourth Proportional to 372,024.94, 513,391.89 and 202,259.07

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Solution

The fourth proportional to 372,024.94, 513,391.89 and 202,259.07 is: 279,116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,024.94 : 513,391.89 = 202,259.07 : x
  2. Step 2: Convert to fraction form
    372,024.94/513,391.89 = 202,259.07/x
  3. Step 3: Cross multiply
    372,024.94x = 513,391.89 × 202,259.07
  4. Step 4: Simplify right side
    372,024.94x = 103,838,166,216.94
  5. Step 5: Solve for x
    x = 103,838,166,216.94/372,024.94
  6. Step 6: Final answer
    x = 279,116.14

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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.