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Finding the Fourth Proportional to 360,298.76, 497,143.86 and 226,102.28

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Solution

The fourth proportional to 360,298.76, 497,143.86 and 226,102.28 is: 311,978.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,298.76 : 497,143.86 = 226,102.28 : x
  2. Step 2: Convert to fraction form
    360,298.76/497,143.86 = 226,102.28/x
  3. Step 3: Cross multiply
    360,298.76x = 497,143.86 × 226,102.28
  4. Step 4: Simplify right side
    360,298.76x = 112,405,360,234.00
  5. Step 5: Solve for x
    x = 112,405,360,234.00/360,298.76
  6. Step 6: Final answer
    x = 311,978.20

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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.