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Finding the Fourth Proportional to 585,042.83, 820,831.43 and 585,042.83

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Solution

The fourth proportional to 585,042.83, 820,831.43 and 585,042.83 is: 820,831.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,042.83 : 820,831.43 = 585,042.83 : x
  2. Step 2: Convert to fraction form
    585,042.83/820,831.43 = 585,042.83/x
  3. Step 3: Cross multiply
    585,042.83x = 820,831.43 × 585,042.83
  4. Step 4: Simplify right side
    585,042.83x = 480,221,535,730.78
  5. Step 5: Solve for x
    x = 480,221,535,730.78/585,042.83
  6. Step 6: Final answer
    x = 820,831.43

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