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Finding the Fourth Proportional to 488,452.33, 731,792.72 and 477,823.51

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Solution

The fourth proportional to 488,452.33, 731,792.72 and 477,823.51 is: 715,868.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,452.33 : 731,792.72 = 477,823.51 : x
  2. Step 2: Convert to fraction form
    488,452.33/731,792.72 = 477,823.51/x
  3. Step 3: Cross multiply
    488,452.33x = 731,792.72 × 477,823.51
  4. Step 4: Simplify right side
    488,452.33x = 349,667,765,427.92
  5. Step 5: Solve for x
    x = 349,667,765,427.92/488,452.33
  6. Step 6: Final answer
    x = 715,868.77

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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.