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Finding the Fourth Proportional to 585,121.70, 820,276.30 and 585,121.70

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Solution

The fourth proportional to 585,121.70, 820,276.30 and 585,121.70 is: 820,276.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,121.70 : 820,276.30 = 585,121.70 : x
  2. Step 2: Convert to fraction form
    585,121.70/820,276.30 = 585,121.70/x
  3. Step 3: Cross multiply
    585,121.70x = 820,276.30 × 585,121.70
  4. Step 4: Simplify right side
    585,121.70x = 479,961,463,125.71
  5. Step 5: Solve for x
    x = 479,961,463,125.71/585,121.70
  6. Step 6: Final answer
    x = 820,276.30

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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.