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Finding the Fourth Proportional to 417,267.84, 575,824.17 and 226,280.22

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Solution

The fourth proportional to 417,267.84, 575,824.17 and 226,280.22 is: 312,263.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,267.84 : 575,824.17 = 226,280.22 : x
  2. Step 2: Convert to fraction form
    417,267.84/575,824.17 = 226,280.22/x
  3. Step 3: Cross multiply
    417,267.84x = 575,824.17 × 226,280.22
  4. Step 4: Simplify right side
    417,267.84x = 130,297,619,868.92
  5. Step 5: Solve for x
    x = 130,297,619,868.92/417,267.84
  6. Step 6: Final answer
    x = 312,263.75

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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.