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Finding the Fourth Proportional to 417,681.78, 576,401.37 and 226,695.14

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Solution

The fourth proportional to 417,681.78, 576,401.37 and 226,695.14 is: 312,839.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,681.78 : 576,401.37 = 226,695.14 : x
  2. Step 2: Convert to fraction form
    417,681.78/576,401.37 = 226,695.14/x
  3. Step 3: Cross multiply
    417,681.78x = 576,401.37 × 226,695.14
  4. Step 4: Simplify right side
    417,681.78x = 130,667,389,268.34
  5. Step 5: Solve for x
    x = 130,667,389,268.34/417,681.78
  6. Step 6: Final answer
    x = 312,839.57

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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.