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Finding the Fourth Proportional to 474,111.78, 711,112.86 and 119,098.78

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Solution

The fourth proportional to 474,111.78, 711,112.86 and 119,098.78 is: 178,634.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,111.78 : 711,112.86 = 119,098.78 : x
  2. Step 2: Convert to fraction form
    474,111.78/711,112.86 = 119,098.78/x
  3. Step 3: Cross multiply
    474,111.78x = 711,112.86 × 119,098.78
  4. Step 4: Simplify right side
    474,111.78x = 84,692,674,068.31
  5. Step 5: Solve for x
    x = 84,692,674,068.31/474,111.78
  6. Step 6: Final answer
    x = 178,634.40

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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.