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Finding the Fourth Proportional to 633,138.33, 873,724.92 and 342,742.46

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Solution

The fourth proportional to 633,138.33, 873,724.92 and 342,742.46 is: 472,981.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,138.33 : 873,724.92 = 342,742.46 : x
  2. Step 2: Convert to fraction form
    633,138.33/873,724.92 = 342,742.46/x
  3. Step 3: Cross multiply
    633,138.33x = 873,724.92 × 342,742.46
  4. Step 4: Simplify right side
    633,138.33x = 299,462,628,444.10
  5. Step 5: Solve for x
    x = 299,462,628,444.10/633,138.33
  6. Step 6: Final answer
    x = 472,981.36

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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.