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Finding the Fourth Proportional to 309,417.66, 464,259.85 and 167,362.95

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Solution

The fourth proportional to 309,417.66, 464,259.85 and 167,362.95 is: 251,116.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,417.66 : 464,259.85 = 167,362.95 : x
  2. Step 2: Convert to fraction form
    309,417.66/464,259.85 = 167,362.95/x
  3. Step 3: Cross multiply
    309,417.66x = 464,259.85 × 167,362.95
  4. Step 4: Simplify right side
    309,417.66x = 77,699,897,644.15
  5. Step 5: Solve for x
    x = 77,699,897,644.15/309,417.66
  6. Step 6: Final answer
    x = 251,116.56

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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.