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Finding the Fourth Proportional to 310,564.90, 465,912.15 and 177,336.10

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Solution

The fourth proportional to 310,564.90, 465,912.15 and 177,336.10 is: 266,041.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,564.90 : 465,912.15 = 177,336.10 : x
  2. Step 2: Convert to fraction form
    310,564.90/465,912.15 = 177,336.10/x
  3. Step 3: Cross multiply
    310,564.90x = 465,912.15 × 177,336.10
  4. Step 4: Simplify right side
    310,564.90x = 82,623,043,623.62
  5. Step 5: Solve for x
    x = 82,623,043,623.62/310,564.90
  6. Step 6: Final answer
    x = 266,041.15

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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.