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Finding the Fourth Proportional to 360,178.42, 497,076.15 and 199,064.92

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Solution

The fourth proportional to 360,178.42, 497,076.15 and 199,064.92 is: 274,726.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,178.42 : 497,076.15 = 199,064.92 : x
  2. Step 2: Convert to fraction form
    360,178.42/497,076.15 = 199,064.92/x
  3. Step 3: Cross multiply
    360,178.42x = 497,076.15 × 199,064.92
  4. Step 4: Simplify right side
    360,178.42x = 98,950,424,033.66
  5. Step 5: Solve for x
    x = 98,950,424,033.66/360,178.42
  6. Step 6: Final answer
    x = 274,726.13

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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.