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Finding the Fourth Proportional to 417,681.76, 576,401.39 and 226,695.17

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Solution

The fourth proportional to 417,681.76, 576,401.39 and 226,695.17 is: 312,839.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,681.76 : 576,401.39 = 226,695.17 : x
  2. Step 2: Convert to fraction form
    417,681.76/576,401.39 = 226,695.17/x
  3. Step 3: Cross multiply
    417,681.76x = 576,401.39 × 226,695.17
  4. Step 4: Simplify right side
    417,681.76x = 130,667,411,094.29
  5. Step 5: Solve for x
    x = 130,667,411,094.29/417,681.76
  6. Step 6: Final answer
    x = 312,839.64

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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.