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Finding the Fourth Proportional to 417,522.81, 576,180.77 and 226,536.15

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Solution

The fourth proportional to 417,522.81, 576,180.77 and 226,536.15 is: 312,619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,522.81 : 576,180.77 = 226,536.15 : x
  2. Step 2: Convert to fraction form
    417,522.81/576,180.77 = 226,536.15/x
  3. Step 3: Cross multiply
    417,522.81x = 576,180.77 × 226,536.15
  4. Step 4: Simplify right side
    417,522.81x = 130,525,772,207.16
  5. Step 5: Solve for x
    x = 130,525,772,207.16/417,522.81
  6. Step 6: Final answer
    x = 312,619.50

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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.