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Finding the Fourth Proportional to 310,564.80, 465,404.40 and 177,163.20

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Solution

The fourth proportional to 310,564.80, 465,404.40 and 177,163.20 is: 265,492.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,564.80 : 465,404.40 = 177,163.20 : x
  2. Step 2: Convert to fraction form
    310,564.80/465,404.40 = 177,163.20/x
  3. Step 3: Cross multiply
    310,564.80x = 465,404.40 × 177,163.20
  4. Step 4: Simplify right side
    310,564.80x = 82,452,532,798.08
  5. Step 5: Solve for x
    x = 82,452,532,798.08/310,564.80
  6. Step 6: Final answer
    x = 265,492.20

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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.