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Finding the Fourth Proportional to 580,648.74, 871,097.55 and 201,581.52

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Solution

The fourth proportional to 580,648.74, 871,097.55 and 201,581.52 is: 302,415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,648.74 : 871,097.55 = 201,581.52 : x
  2. Step 2: Convert to fraction form
    580,648.74/871,097.55 = 201,581.52/x
  3. Step 3: Cross multiply
    580,648.74x = 871,097.55 × 201,581.52
  4. Step 4: Simplify right side
    580,648.74x = 175,597,168,197.28
  5. Step 5: Solve for x
    x = 175,597,168,197.28/580,648.74
  6. Step 6: Final answer
    x = 302,415.48

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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.