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Finding the Fourth Proportional to 417,130.44, 575,643.96 and 226,142.97

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Solution

The fourth proportional to 417,130.44, 575,643.96 and 226,142.97 is: 312,079.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,130.44 : 575,643.96 = 226,142.97 : x
  2. Step 2: Convert to fraction form
    417,130.44/575,643.96 = 226,142.97/x
  3. Step 3: Cross multiply
    417,130.44x = 575,643.96 × 226,142.97
  4. Step 4: Simplify right side
    417,130.44x = 130,177,834,776.96
  5. Step 5: Solve for x
    x = 130,177,834,776.96/417,130.44
  6. Step 6: Final answer
    x = 312,079.44

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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.