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Finding the Fourth Proportional to 314,268.58, 433,700.42 and 178,308.26

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Solution

The fourth proportional to 314,268.58, 433,700.42 and 178,308.26 is: 246,070.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,268.58 : 433,700.42 = 178,308.26 : x
  2. Step 2: Convert to fraction form
    314,268.58/433,700.42 = 178,308.26/x
  3. Step 3: Cross multiply
    314,268.58x = 433,700.42 × 178,308.26
  4. Step 4: Simplify right side
    314,268.58x = 77,332,367,251.47
  5. Step 5: Solve for x
    x = 77,332,367,251.47/314,268.58
  6. Step 6: Final answer
    x = 246,070.95

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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.