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Finding the Fourth Proportional to 417,323.56, 575,903.64 and 226,337.44

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Solution

The fourth proportional to 417,323.56, 575,903.64 and 226,337.44 is: 312,344.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,323.56 : 575,903.64 = 226,337.44 : x
  2. Step 2: Convert to fraction form
    417,323.56/575,903.64 = 226,337.44/x
  3. Step 3: Cross multiply
    417,323.56x = 575,903.64 × 226,337.44
  4. Step 4: Simplify right side
    417,323.56x = 130,348,555,564.28
  5. Step 5: Solve for x
    x = 130,348,555,564.28/417,323.56
  6. Step 6: Final answer
    x = 312,344.11

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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.