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Finding the Fourth Proportional to 354,399.68, 531,320.48 and 176,815.36

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Solution

The fourth proportional to 354,399.68, 531,320.48 and 176,815.36 is: 265,083.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,399.68 : 531,320.48 = 176,815.36 : x
  2. Step 2: Convert to fraction form
    354,399.68/531,320.48 = 176,815.36/x
  3. Step 3: Cross multiply
    354,399.68x = 531,320.48 × 176,815.36
  4. Step 4: Simplify right side
    354,399.68x = 93,945,621,946.57
  5. Step 5: Solve for x
    x = 93,945,621,946.57/354,399.68
  6. Step 6: Final answer
    x = 265,083.82

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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.