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Finding the Fourth Proportional to 314,201.75, 433,597.86 and 170,961.03

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Solution

The fourth proportional to 314,201.75, 433,597.86 and 170,961.03 is: 235,925.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,201.75 : 433,597.86 = 170,961.03 : x
  2. Step 2: Convert to fraction form
    314,201.75/433,597.86 = 170,961.03/x
  3. Step 3: Cross multiply
    314,201.75x = 433,597.86 × 170,961.03
  4. Step 4: Simplify right side
    314,201.75x = 74,128,336,751.40
  5. Step 5: Solve for x
    x = 74,128,336,751.40/314,201.75
  6. Step 6: Final answer
    x = 235,925.92

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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.