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Finding the Fourth Proportional to 315,423.49, 435,278.80 and 179,454.51

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Solution

The fourth proportional to 315,423.49, 435,278.80 and 179,454.51 is: 247,644.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,423.49 : 435,278.80 = 179,454.51 : x
  2. Step 2: Convert to fraction form
    315,423.49/435,278.80 = 179,454.51/x
  3. Step 3: Cross multiply
    315,423.49x = 435,278.80 × 179,454.51
  4. Step 4: Simplify right side
    315,423.49x = 78,112,742,982.27
  5. Step 5: Solve for x
    x = 78,112,742,982.27/315,423.49
  6. Step 6: Final answer
    x = 247,644.03

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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.