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Finding the Fourth Proportional to 490,028.13, 735,146.08 and 174,484.13

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Solution

The fourth proportional to 490,028.13, 735,146.08 and 174,484.13 is: 261,763.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,028.13 : 735,146.08 = 174,484.13 : x
  2. Step 2: Convert to fraction form
    490,028.13/735,146.08 = 174,484.13/x
  3. Step 3: Cross multiply
    490,028.13x = 735,146.08 × 174,484.13
  4. Step 4: Simplify right side
    490,028.13x = 128,271,320,079.77
  5. Step 5: Solve for x
    x = 128,271,320,079.77/490,028.13
  6. Step 6: Final answer
    x = 261,763.18

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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.