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Finding the Fourth Proportional to 261,347.88, 360,807.84 and 199,978.68

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Solution

The fourth proportional to 261,347.88, 360,807.84 and 199,978.68 is: 276,083.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,347.88 : 360,807.84 = 199,978.68 : x
  2. Step 2: Convert to fraction form
    261,347.88/360,807.84 = 199,978.68/x
  3. Step 3: Cross multiply
    261,347.88x = 360,807.84 × 199,978.68
  4. Step 4: Simplify right side
    261,347.88x = 72,153,875,576.85
  5. Step 5: Solve for x
    x = 72,153,875,576.85/261,347.88
  6. Step 6: Final answer
    x = 276,083.65

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1.5x scale

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.