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Finding the Fourth Proportional to 417,110.40, 575,611.20 and 226,123.20

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Solution

The fourth proportional to 417,110.40, 575,611.20 and 226,123.20 is: 312,049.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,110.40 : 575,611.20 = 226,123.20 : x
  2. Step 2: Convert to fraction form
    417,110.40/575,611.20 = 226,123.20/x
  3. Step 3: Cross multiply
    417,110.40x = 575,611.20 × 226,123.20
  4. Step 4: Simplify right side
    417,110.40x = 130,159,046,499.84
  5. Step 5: Solve for x
    x = 130,159,046,499.84/417,110.40
  6. Step 6: Final answer
    x = 312,049.39

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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.