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Finding the Fourth Proportional to 585,671.70, 808,245.72 and 381,854.28

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Solution

The fourth proportional to 585,671.70, 808,245.72 and 381,854.28 is: 526,971.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,671.70 : 808,245.72 = 381,854.28 : x
  2. Step 2: Convert to fraction form
    585,671.70/808,245.72 = 381,854.28/x
  3. Step 3: Cross multiply
    585,671.70x = 808,245.72 × 381,854.28
  4. Step 4: Simplify right side
    585,671.70x = 308,632,087,473.68
  5. Step 5: Solve for x
    x = 308,632,087,473.68/585,671.70
  6. Step 6: Final answer
    x = 526,971.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.