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Finding the Fourth Proportional to 314,405.50, 433,854.68 and 178,439.44

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Solution

The fourth proportional to 314,405.50, 433,854.68 and 178,439.44 is: 246,232.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,405.50 : 433,854.68 = 178,439.44 : x
  2. Step 2: Convert to fraction form
    314,405.50/433,854.68 = 178,439.44/x
  3. Step 3: Cross multiply
    314,405.50x = 433,854.68 × 178,439.44
  4. Step 4: Simplify right side
    314,405.50x = 77,416,786,140.58
  5. Step 5: Solve for x
    x = 77,416,786,140.58/314,405.50
  6. Step 6: Final answer
    x = 246,232.29

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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.