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Finding the Fourth Proportional to 417,276.66, 575,836.74 and 226,287.78

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Solution

The fourth proportional to 417,276.66, 575,836.74 and 226,287.78 is: 312,274.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,276.66 : 575,836.74 = 226,287.78 : x
  2. Step 2: Convert to fraction form
    417,276.66/575,836.74 = 226,287.78/x
  3. Step 3: Cross multiply
    417,276.66x = 575,836.74 × 226,287.78
  4. Step 4: Simplify right side
    417,276.66x = 130,304,817,537.04
  5. Step 5: Solve for x
    x = 130,304,817,537.04/417,276.66
  6. Step 6: Final answer
    x = 312,274.40

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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.