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Finding the Fourth Proportional to 417,584.74, 576,268.49 and 226,598.13

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Solution

The fourth proportional to 417,584.74, 576,268.49 and 226,598.13 is: 312,706.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,584.74 : 576,268.49 = 226,598.13 : x
  2. Step 2: Convert to fraction form
    417,584.74/576,268.49 = 226,598.13/x
  3. Step 3: Cross multiply
    417,584.74x = 576,268.49 × 226,598.13
  4. Step 4: Simplify right side
    417,584.74x = 130,581,362,211.92
  5. Step 5: Solve for x
    x = 130,581,362,211.92/417,584.74
  6. Step 6: Final answer
    x = 312,706.26

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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.