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Finding the Fourth Proportional to 360,669, 497,737.88 and 199,521.27

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Solution

The fourth proportional to 360,669, 497,737.88 and 199,521.27 is: 275,347.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,669 : 497,737.88 = 199,521.27 : x
  2. Step 2: Convert to fraction form
    360,669/497,737.88 = 199,521.27/x
  3. Step 3: Cross multiply
    360,669x = 497,737.88 × 199,521.27
  4. Step 4: Simplify right side
    360,669x = 99,309,292,947.10
  5. Step 5: Solve for x
    x = 99,309,292,947.10/360,669
  6. Step 6: Final answer
    x = 275,347.46

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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.