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Finding the Fourth Proportional to 503,524, 755,026.26 and 148,492

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Solution

The fourth proportional to 503,524, 755,026.26 and 148,492 is: 222,661.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,524 : 755,026.26 = 148,492 : x
  2. Step 2: Convert to fraction form
    503,524/755,026.26 = 148,492/x
  3. Step 3: Cross multiply
    503,524x = 755,026.26 × 148,492
  4. Step 4: Simplify right side
    503,524x = 112,115,359,399.92
  5. Step 5: Solve for x
    x = 112,115,359,399.92/503,524
  6. Step 6: Final answer
    x = 222,661.40

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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.