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Finding the Fourth Proportional to 833,448, 1,250,383.68 and 242,472

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Solution

The fourth proportional to 833,448, 1,250,383.68 and 242,472 is: 363,769.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,448 : 1,250,383.68 = 242,472 : x
  2. Step 2: Convert to fraction form
    833,448/1,250,383.68 = 242,472/x
  3. Step 3: Cross multiply
    833,448x = 1,250,383.68 × 242,472
  4. Step 4: Simplify right side
    833,448x = 303,183,031,656.96
  5. Step 5: Solve for x
    x = 303,183,031,656.96/833,448
  6. Step 6: Final answer
    x = 363,769.58

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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.