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Finding the Fourth Proportional to 314,879.04, 434,516.68 and 178,894.11

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Solution

The fourth proportional to 314,879.04, 434,516.68 and 178,894.11 is: 246,864.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,879.04 : 434,516.68 = 178,894.11 : x
  2. Step 2: Convert to fraction form
    314,879.04/434,516.68 = 178,894.11/x
  3. Step 3: Cross multiply
    314,879.04x = 434,516.68 × 178,894.11
  4. Step 4: Simplify right side
    314,879.04x = 77,732,473,854.28
  5. Step 5: Solve for x
    x = 77,732,473,854.28/314,879.04
  6. Step 6: Final answer
    x = 246,864.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.