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Finding the Fourth Proportional to 417,584.83, 576,268.65 and 226,598.21

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Solution

The fourth proportional to 417,584.83, 576,268.65 and 226,598.21 is: 312,706.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,584.83 : 576,268.65 = 226,598.21 : x
  2. Step 2: Convert to fraction form
    417,584.83/576,268.65 = 226,598.21/x
  3. Step 3: Cross multiply
    417,584.83x = 576,268.65 × 226,598.21
  4. Step 4: Simplify right side
    417,584.83x = 130,581,444,569.12
  5. Step 5: Solve for x
    x = 130,581,444,569.12/417,584.83
  6. Step 6: Final answer
    x = 312,706.39

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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.