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Finding the Fourth Proportional to 585,096.60, 821,497.20 and 585,096.60

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Solution

The fourth proportional to 585,096.60, 821,497.20 and 585,096.60 is: 821,497.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,096.60 : 821,497.20 = 585,096.60 : x
  2. Step 2: Convert to fraction form
    585,096.60/821,497.20 = 585,096.60/x
  3. Step 3: Cross multiply
    585,096.60x = 821,497.20 × 585,096.60
  4. Step 4: Simplify right side
    585,096.60x = 480,655,218,629.52
  5. Step 5: Solve for x
    x = 480,655,218,629.52/585,096.60
  6. Step 6: Final answer
    x = 821,497.20

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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.