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Finding the Fourth Proportional to 372,658.80, 514,271.16 and 202,894.16

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Solution

The fourth proportional to 372,658.80, 514,271.16 and 202,894.16 is: 279,995.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,658.80 : 514,271.16 = 202,894.16 : x
  2. Step 2: Convert to fraction form
    372,658.80/514,271.16 = 202,894.16/x
  3. Step 3: Cross multiply
    372,658.80x = 514,271.16 × 202,894.16
  4. Step 4: Simplify right side
    372,658.80x = 104,342,615,020.43
  5. Step 5: Solve for x
    x = 104,342,615,020.43/372,658.80
  6. Step 6: Final answer
    x = 279,995.04

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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.