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Finding the Fourth Proportional to 357,209.06, 535,906.96 and 207,305.25

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Solution

The fourth proportional to 357,209.06, 535,906.96 and 207,305.25 is: 311,012.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,209.06 : 535,906.96 = 207,305.25 : x
  2. Step 2: Convert to fraction form
    357,209.06/535,906.96 = 207,305.25/x
  3. Step 3: Cross multiply
    357,209.06x = 535,906.96 × 207,305.25
  4. Step 4: Simplify right side
    357,209.06x = 111,096,326,319.54
  5. Step 5: Solve for x
    x = 111,096,326,319.54/357,209.06
  6. Step 6: Final answer
    x = 311,012.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.