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Finding the Fourth Proportional to 310,796.56, 466,194.84 and 205,590.93

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Solution

The fourth proportional to 310,796.56, 466,194.84 and 205,590.93 is: 308,386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,796.56 : 466,194.84 = 205,590.93 : x
  2. Step 2: Convert to fraction form
    310,796.56/466,194.84 = 205,590.93/x
  3. Step 3: Cross multiply
    310,796.56x = 466,194.84 × 205,590.93
  4. Step 4: Simplify right side
    310,796.56x = 95,845,429,354.05
  5. Step 5: Solve for x
    x = 95,845,429,354.05/310,796.56
  6. Step 6: Final answer
    x = 308,386.39

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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.