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Finding the Fourth Proportional to 835,580, 1,153,101.84 and 477,884

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Solution

The fourth proportional to 835,580, 1,153,101.84 and 477,884 is: 659,480.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,580 : 1,153,101.84 = 477,884 : x
  2. Step 2: Convert to fraction form
    835,580/1,153,101.84 = 477,884/x
  3. Step 3: Cross multiply
    835,580x = 1,153,101.84 × 477,884
  4. Step 4: Simplify right side
    835,580x = 551,048,919,706.56
  5. Step 5: Solve for x
    x = 551,048,919,706.56/835,580
  6. Step 6: Final answer
    x = 659,480.74

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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.