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Finding the Fourth Proportional to 548,830.40, 821,641.80 and 391,366.40

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Solution

The fourth proportional to 548,830.40, 821,641.80 and 391,366.40 is: 585,905.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,830.40 : 821,641.80 = 391,366.40 : x
  2. Step 2: Convert to fraction form
    548,830.40/821,641.80 = 391,366.40/x
  3. Step 3: Cross multiply
    548,830.40x = 821,641.80 × 391,366.40
  4. Step 4: Simplify right side
    548,830.40x = 321,562,993,355.52
  5. Step 5: Solve for x
    x = 321,562,993,355.52/548,830.40
  6. Step 6: Final answer
    x = 585,905.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.