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Finding the Fourth Proportional to 417,257.82, 575,816.10 and 226,271.16

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Solution

The fourth proportional to 417,257.82, 575,816.10 and 226,271.16 is: 312,254.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,257.82 : 575,816.10 = 226,271.16 : x
  2. Step 2: Convert to fraction form
    417,257.82/575,816.10 = 226,271.16/x
  3. Step 3: Cross multiply
    417,257.82x = 575,816.10 × 226,271.16
  4. Step 4: Simplify right side
    417,257.82x = 130,290,576,893.68
  5. Step 5: Solve for x
    x = 130,290,576,893.68/417,257.82
  6. Step 6: Final answer
    x = 312,254.37

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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.