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Finding the Fourth Proportional to 369,567, 510,002.46 and 199,801.13

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Solution

The fourth proportional to 369,567, 510,002.46 and 199,801.13 is: 275,725.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,567 : 510,002.46 = 199,801.13 : x
  2. Step 2: Convert to fraction form
    369,567/510,002.46 = 199,801.13/x
  3. Step 3: Cross multiply
    369,567x = 510,002.46 × 199,801.13
  4. Step 4: Simplify right side
    369,567x = 101,899,065,260.77
  5. Step 5: Solve for x
    x = 101,899,065,260.77/369,567
  6. Step 6: Final answer
    x = 275,725.55

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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.