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Finding the Fourth Proportional to 403,842.63, 605,647.29 and 137,597.25

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Solution

The fourth proportional to 403,842.63, 605,647.29 and 137,597.25 is: 206,356.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,842.63 : 605,647.29 = 137,597.25 : x
  2. Step 2: Convert to fraction form
    403,842.63/605,647.29 = 137,597.25/x
  3. Step 3: Cross multiply
    403,842.63x = 605,647.29 × 137,597.25
  4. Step 4: Simplify right side
    403,842.63x = 83,335,401,573.95
  5. Step 5: Solve for x
    x = 83,335,401,573.95/403,842.63
  6. Step 6: Final answer
    x = 206,356.13

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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.