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Finding the Fourth Proportional to 235,714.71, 324,464.85 and 205,447.53

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Solution

The fourth proportional to 235,714.71, 324,464.85 and 205,447.53 is: 282,801.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,714.71 : 324,464.85 = 205,447.53 : x
  2. Step 2: Convert to fraction form
    235,714.71/324,464.85 = 205,447.53/x
  3. Step 3: Cross multiply
    235,714.71x = 324,464.85 × 205,447.53
  4. Step 4: Simplify right side
    235,714.71x = 66,660,502,004.32
  5. Step 5: Solve for x
    x = 66,660,502,004.32/235,714.71
  6. Step 6: Final answer
    x = 282,801.62

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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.