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Finding the Fourth Proportional to 417,533.50, 576,194.20 and 226,546.89

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Solution

The fourth proportional to 417,533.50, 576,194.20 and 226,546.89 is: 312,633.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,533.50 : 576,194.20 = 226,546.89 : x
  2. Step 2: Convert to fraction form
    417,533.50/576,194.20 = 226,546.89/x
  3. Step 3: Cross multiply
    417,533.50x = 576,194.20 × 226,546.89
  4. Step 4: Simplify right side
    417,533.50x = 130,535,001,810.63
  5. Step 5: Solve for x
    x = 130,535,001,810.63/417,533.50
  6. Step 6: Final answer
    x = 312,633.60

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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.