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Finding the Fourth Proportional to 360,890.64, 497,959.92 and 199,738.08

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Solution

The fourth proportional to 360,890.64, 497,959.92 and 199,738.08 is: 275,600.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,890.64 : 497,959.92 = 199,738.08 : x
  2. Step 2: Convert to fraction form
    360,890.64/497,959.92 = 199,738.08/x
  3. Step 3: Cross multiply
    360,890.64x = 497,959.92 × 199,738.08
  4. Step 4: Simplify right side
    360,890.64x = 99,461,558,337.75
  5. Step 5: Solve for x
    x = 99,461,558,337.75/360,890.64
  6. Step 6: Final answer
    x = 275,600.27

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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.