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Finding the Fourth Proportional to 310,472.64, 465,377.40 and 177,065.64

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Solution

The fourth proportional to 310,472.64, 465,377.40 and 177,065.64 is: 265,409.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,472.64 : 465,377.40 = 177,065.64 : x
  2. Step 2: Convert to fraction form
    310,472.64/465,377.40 = 177,065.64/x
  3. Step 3: Cross multiply
    310,472.64x = 465,377.40 × 177,065.64
  4. Step 4: Simplify right side
    310,472.64x = 82,402,347,172.54
  5. Step 5: Solve for x
    x = 82,402,347,172.54/310,472.64
  6. Step 6: Final answer
    x = 265,409.37

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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.