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Finding the Fourth Proportional to 360,830.88, 497,947.56 and 199,697.04

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Solution

The fourth proportional to 360,830.88, 497,947.56 and 199,697.04 is: 275,582.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,830.88 : 497,947.56 = 199,697.04 : x
  2. Step 2: Convert to fraction form
    360,830.88/497,947.56 = 199,697.04/x
  3. Step 3: Cross multiply
    360,830.88x = 497,947.56 × 199,697.04
  4. Step 4: Simplify right side
    360,830.88x = 99,438,653,807.22
  5. Step 5: Solve for x
    x = 99,438,653,807.22/360,830.88
  6. Step 6: Final answer
    x = 275,582.44

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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.