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Finding the Fourth Proportional to 417,254.90, 575,806.73 and 226,266.01

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Solution

The fourth proportional to 417,254.90, 575,806.73 and 226,266.01 is: 312,244.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,254.90 : 575,806.73 = 226,266.01 : x
  2. Step 2: Convert to fraction form
    417,254.90/575,806.73 = 226,266.01/x
  3. Step 3: Cross multiply
    417,254.90x = 575,806.73 × 226,266.01
  4. Step 4: Simplify right side
    417,254.90x = 130,285,488,757.40
  5. Step 5: Solve for x
    x = 130,285,488,757.40/417,254.90
  6. Step 6: Final answer
    x = 312,244.36

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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.