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Finding the Fourth Proportional to 580,216, 871,658.16 and 412,144.96

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Solution

The fourth proportional to 580,216, 871,658.16 and 412,144.96 is: 619,165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,216 : 871,658.16 = 412,144.96 : x
  2. Step 2: Convert to fraction form
    580,216/871,658.16 = 412,144.96/x
  3. Step 3: Cross multiply
    580,216x = 871,658.16 × 412,144.96
  4. Step 4: Simplify right side
    580,216x = 359,249,517,486.87
  5. Step 5: Solve for x
    x = 359,249,517,486.87/580,216
  6. Step 6: Final answer
    x = 619,165.13

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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.