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Finding the Fourth Proportional to 314,648.96, 471,598.61 and 181,252.89

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Solution

The fourth proportional to 314,648.96, 471,598.61 and 181,252.89 is: 271,663.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,648.96 : 471,598.61 = 181,252.89 : x
  2. Step 2: Convert to fraction form
    314,648.96/471,598.61 = 181,252.89/x
  3. Step 3: Cross multiply
    314,648.96x = 471,598.61 × 181,252.89
  4. Step 4: Simplify right side
    314,648.96x = 85,478,610,076.22
  5. Step 5: Solve for x
    x = 85,478,610,076.22/314,648.96
  6. Step 6: Final answer
    x = 271,663.42

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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.