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Finding the Fourth Proportional to 334,086.58, 501,203.58 and 97,447.78

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Solution

The fourth proportional to 334,086.58, 501,203.58 and 97,447.78 is: 146,193.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,086.58 : 501,203.58 = 97,447.78 : x
  2. Step 2: Convert to fraction form
    334,086.58/501,203.58 = 97,447.78/x
  3. Step 3: Cross multiply
    334,086.58x = 501,203.58 × 97,447.78
  4. Step 4: Simplify right side
    334,086.58x = 48,841,176,199.05
  5. Step 5: Solve for x
    x = 48,841,176,199.05/334,086.58
  6. Step 6: Final answer
    x = 146,193.17

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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.