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Finding the Fourth Proportional to 357,273.66, 535,209.81 and 207,198.66

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Solution

The fourth proportional to 357,273.66, 535,209.81 and 207,198.66 is: 310,391.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,273.66 : 535,209.81 = 207,198.66 : x
  2. Step 2: Convert to fraction form
    357,273.66/535,209.81 = 207,198.66/x
  3. Step 3: Cross multiply
    357,273.66x = 535,209.81 × 207,198.66
  4. Step 4: Simplify right side
    357,273.66x = 110,894,752,774.81
  5. Step 5: Solve for x
    x = 110,894,752,774.81/357,273.66
  6. Step 6: Final answer
    x = 310,391.63

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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.