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Finding the Fourth Proportional to 489,082.70, 683,316.10 and 489,082.70

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Solution

The fourth proportional to 489,082.70, 683,316.10 and 489,082.70 is: 683,316.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,082.70 : 683,316.10 = 489,082.70 : x
  2. Step 2: Convert to fraction form
    489,082.70/683,316.10 = 489,082.70/x
  3. Step 3: Cross multiply
    489,082.70x = 683,316.10 × 489,082.70
  4. Step 4: Simplify right side
    489,082.70x = 334,198,083,141.47
  5. Step 5: Solve for x
    x = 334,198,083,141.47/489,082.70
  6. Step 6: Final answer
    x = 683,316.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.