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Finding the Fourth Proportional to 268,402.60, 401,567.10 and 175,090.60

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Solution

The fourth proportional to 268,402.60, 401,567.10 and 175,090.60 is: 261,959.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,402.60 : 401,567.10 = 175,090.60 : x
  2. Step 2: Convert to fraction form
    268,402.60/401,567.10 = 175,090.60/x
  3. Step 3: Cross multiply
    268,402.60x = 401,567.10 × 175,090.60
  4. Step 4: Simplify right side
    268,402.60x = 70,310,624,479.26
  5. Step 5: Solve for x
    x = 70,310,624,479.26/268,402.60
  6. Step 6: Final answer
    x = 261,959.55

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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.