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Finding the Fourth Proportional to 417,245.10, 575,801.84 and 226,258.50

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Solution

The fourth proportional to 417,245.10, 575,801.84 and 226,258.50 is: 312,238.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,245.10 : 575,801.84 = 226,258.50 : x
  2. Step 2: Convert to fraction form
    417,245.10/575,801.84 = 226,258.50/x
  3. Step 3: Cross multiply
    417,245.10x = 575,801.84 × 226,258.50
  4. Step 4: Simplify right side
    417,245.10x = 130,280,060,615.64
  5. Step 5: Solve for x
    x = 130,280,060,615.64/417,245.10
  6. Step 6: Final answer
    x = 312,238.68

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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.