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Finding the Fourth Proportional to 314,119.35, 433,479.60 and 170,883

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Solution

The fourth proportional to 314,119.35, 433,479.60 and 170,883 is: 235,815.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,119.35 : 433,479.60 = 170,883 : x
  2. Step 2: Convert to fraction form
    314,119.35/433,479.60 = 170,883/x
  3. Step 3: Cross multiply
    314,119.35x = 433,479.60 × 170,883
  4. Step 4: Simplify right side
    314,119.35x = 74,074,294,486.80
  5. Step 5: Solve for x
    x = 74,074,294,486.80/314,119.35
  6. Step 6: Final answer
    x = 235,815.76

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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.