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Finding the Fourth Proportional to 580,248, 871,706.16 and 412,176.96

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Solution

The fourth proportional to 580,248, 871,706.16 and 412,176.96 is: 619,213.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,248 : 871,706.16 = 412,176.96 : x
  2. Step 2: Convert to fraction form
    580,248/871,706.16 = 412,176.96/x
  3. Step 3: Cross multiply
    580,248x = 871,706.16 × 412,176.96
  4. Step 4: Simplify right side
    580,248x = 359,297,195,042.07
  5. Step 5: Solve for x
    x = 359,297,195,042.07/580,248
  6. Step 6: Final answer
    x = 619,213.16

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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.