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Finding the Fourth Proportional to 474,085.97, 711,129.64 and 193,603.22

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Solution

The fourth proportional to 474,085.97, 711,129.64 and 193,603.22 is: 290,405.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,085.97 : 711,129.64 = 193,603.22 : x
  2. Step 2: Convert to fraction form
    474,085.97/711,129.64 = 193,603.22/x
  3. Step 3: Cross multiply
    474,085.97x = 711,129.64 × 193,603.22
  4. Step 4: Simplify right side
    474,085.97x = 137,676,987,173.43
  5. Step 5: Solve for x
    x = 137,676,987,173.43/474,085.97
  6. Step 6: Final answer
    x = 290,405.11

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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.