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Finding the Fourth Proportional to 723,293.90, 998,204.74 and 401,105.06

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Solution

The fourth proportional to 723,293.90, 998,204.74 and 401,105.06 is: 553,557.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,293.90 : 998,204.74 = 401,105.06 : x
  2. Step 2: Convert to fraction form
    723,293.90/998,204.74 = 401,105.06/x
  3. Step 3: Cross multiply
    723,293.90x = 998,204.74 × 401,105.06
  4. Step 4: Simplify right side
    723,293.90x = 400,384,972,129.98
  5. Step 5: Solve for x
    x = 400,384,972,129.98/723,293.90
  6. Step 6: Final answer
    x = 553,557.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.