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Finding the Fourth Proportional to 314,217.90, 433,618.62 and 170,978.46

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Solution

The fourth proportional to 314,217.90, 433,618.62 and 170,978.46 is: 235,949.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,217.90 : 433,618.62 = 170,978.46 : x
  2. Step 2: Convert to fraction form
    314,217.90/433,618.62 = 170,978.46/x
  3. Step 3: Cross multiply
    314,217.90x = 433,618.62 × 170,978.46
  4. Step 4: Simplify right side
    314,217.90x = 74,139,443,874.93
  5. Step 5: Solve for x
    x = 74,139,443,874.93/314,217.90
  6. Step 6: Final answer
    x = 235,949.14

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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.