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Finding the Fourth Proportional to 310,777.66, 466,166.49 and 205,572.02

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Solution

The fourth proportional to 310,777.66, 466,166.49 and 205,572.02 is: 308,358.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,777.66 : 466,166.49 = 205,572.02 : x
  2. Step 2: Convert to fraction form
    310,777.66/466,166.49 = 205,572.02/x
  3. Step 3: Cross multiply
    310,777.66x = 466,166.49 × 205,572.02
  4. Step 4: Simplify right side
    310,777.66x = 95,830,785,977.75
  5. Step 5: Solve for x
    x = 95,830,785,977.75/310,777.66
  6. Step 6: Final answer
    x = 308,358.03

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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.