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Finding the Fourth Proportional to 585,035.10, 821,411.10 and 585,035.10

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Solution

The fourth proportional to 585,035.10, 821,411.10 and 585,035.10 is: 821,411.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,035.10 : 821,411.10 = 585,035.10 : x
  2. Step 2: Convert to fraction form
    585,035.10/821,411.10 = 585,035.10/x
  3. Step 3: Cross multiply
    585,035.10x = 821,411.10 × 585,035.10
  4. Step 4: Simplify right side
    585,035.10x = 480,554,325,029.61
  5. Step 5: Solve for x
    x = 480,554,325,029.61/585,035.10
  6. Step 6: Final answer
    x = 821,411.10

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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.