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Finding the Fourth Proportional to 314,268.84, 433,700.78 and 178,308.52

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Solution

The fourth proportional to 314,268.84, 433,700.78 and 178,308.52 is: 246,071.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,268.84 : 433,700.78 = 178,308.52 : x
  2. Step 2: Convert to fraction form
    314,268.84/433,700.78 = 178,308.52/x
  3. Step 3: Cross multiply
    314,268.84x = 433,700.78 × 178,308.52
  4. Step 4: Simplify right side
    314,268.84x = 77,332,542,228.85
  5. Step 5: Solve for x
    x = 77,332,542,228.85/314,268.84
  6. Step 6: Final answer
    x = 246,071.30

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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.