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Finding the Fourth Proportional to 314,449.96, 433,948.72 and 171,217.84

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Solution

The fourth proportional to 314,449.96, 433,948.72 and 171,217.84 is: 236,284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,449.96 : 433,948.72 = 171,217.84 : x
  2. Step 2: Convert to fraction form
    314,449.96/433,948.72 = 171,217.84/x
  3. Step 3: Cross multiply
    314,449.96x = 433,948.72 × 171,217.84
  4. Step 4: Simplify right side
    314,449.96x = 74,299,762,509.16
  5. Step 5: Solve for x
    x = 74,299,762,509.16/314,449.96
  6. Step 6: Final answer
    x = 236,284.85

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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.