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Finding the Fourth Proportional to 360,442.86, 497,391.08 and 199,288.23

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Solution

The fourth proportional to 360,442.86, 497,391.08 and 199,288.23 is: 275,006.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,442.86 : 497,391.08 = 199,288.23 : x
  2. Step 2: Convert to fraction form
    360,442.86/497,391.08 = 199,288.23/x
  3. Step 3: Cross multiply
    360,442.86x = 497,391.08 × 199,288.23
  4. Step 4: Simplify right side
    360,442.86x = 99,124,186,954.55
  5. Step 5: Solve for x
    x = 99,124,186,954.55/360,442.86
  6. Step 6: Final answer
    x = 275,006.66

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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.