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Finding the Fourth Proportional to 417,111.50, 575,610.45 and 226,119.98

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Solution

The fourth proportional to 417,111.50, 575,610.45 and 226,119.98 is: 312,043.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,111.50 : 575,610.45 = 226,119.98 : x
  2. Step 2: Convert to fraction form
    417,111.50/575,610.45 = 226,119.98/x
  3. Step 3: Cross multiply
    417,111.50x = 575,610.45 × 226,119.98
  4. Step 4: Simplify right side
    417,111.50x = 130,157,023,441.79
  5. Step 5: Solve for x
    x = 130,157,023,441.79/417,111.50
  6. Step 6: Final answer
    x = 312,043.72

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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.