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Finding the Fourth Proportional to 360,411.86, 497,348.28 and 199,257.50

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Solution

The fourth proportional to 360,411.86, 497,348.28 and 199,257.50 is: 274,964.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,411.86 : 497,348.28 = 199,257.50 : x
  2. Step 2: Convert to fraction form
    360,411.86/497,348.28 = 199,257.50/x
  3. Step 3: Cross multiply
    360,411.86x = 497,348.28 × 199,257.50
  4. Step 4: Simplify right side
    360,411.86x = 99,100,374,902.10
  5. Step 5: Solve for x
    x = 99,100,374,902.10/360,411.86
  6. Step 6: Final answer
    x = 274,964.24

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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.