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Finding the Fourth Proportional to 542,725.84, 813,922.92 and 375,322

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Solution

The fourth proportional to 542,725.84, 813,922.92 and 375,322 is: 562,868.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,725.84 : 813,922.92 = 375,322 : x
  2. Step 2: Convert to fraction form
    542,725.84/813,922.92 = 375,322/x
  3. Step 3: Cross multiply
    542,725.84x = 813,922.92 × 375,322
  4. Step 4: Simplify right side
    542,725.84x = 305,483,178,180.24
  5. Step 5: Solve for x
    x = 305,483,178,180.24/542,725.84
  6. Step 6: Final answer
    x = 562,868.31

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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.