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Finding the Fourth Proportional to 310,948.35, 465,675.04 and 177,423.78

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Solution

The fourth proportional to 310,948.35, 465,675.04 and 177,423.78 is: 265,709.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,948.35 : 465,675.04 = 177,423.78 : x
  2. Step 2: Convert to fraction form
    310,948.35/465,675.04 = 177,423.78/x
  3. Step 3: Cross multiply
    310,948.35x = 465,675.04 × 177,423.78
  4. Step 4: Simplify right side
    310,948.35x = 82,621,825,848.45
  5. Step 5: Solve for x
    x = 82,621,825,848.45/310,948.35
  6. Step 6: Final answer
    x = 265,709.16

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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.