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Finding the Fourth Proportional to 269,019.30, 403,319.77 and 174,048.82

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Solution

The fourth proportional to 269,019.30, 403,319.77 and 174,048.82 is: 260,937.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,019.30 : 403,319.77 = 174,048.82 : x
  2. Step 2: Convert to fraction form
    269,019.30/403,319.77 = 174,048.82/x
  3. Step 3: Cross multiply
    269,019.30x = 403,319.77 × 174,048.82
  4. Step 4: Simplify right side
    269,019.30x = 70,197,330,051.17
  5. Step 5: Solve for x
    x = 70,197,330,051.17/269,019.30
  6. Step 6: Final answer
    x = 260,937.90

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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.