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Finding the Fourth Proportional to 548,324.40, 822,486.60 and 415,464.15

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Solution

The fourth proportional to 548,324.40, 822,486.60 and 415,464.15 is: 623,196.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,324.40 : 822,486.60 = 415,464.15 : x
  2. Step 2: Convert to fraction form
    548,324.40/822,486.60 = 415,464.15/x
  3. Step 3: Cross multiply
    548,324.40x = 822,486.60 × 415,464.15
  4. Step 4: Simplify right side
    548,324.40x = 341,713,696,155.39
  5. Step 5: Solve for x
    x = 341,713,696,155.39/548,324.40
  6. Step 6: Final answer
    x = 623,196.23

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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.