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Finding the Fourth Proportional to 322,805.16, 484,210.08 and 112,442.40

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Solution

The fourth proportional to 322,805.16, 484,210.08 and 112,442.40 is: 168,664.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,805.16 : 484,210.08 = 112,442.40 : x
  2. Step 2: Convert to fraction form
    322,805.16/484,210.08 = 112,442.40/x
  3. Step 3: Cross multiply
    322,805.16x = 484,210.08 × 112,442.40
  4. Step 4: Simplify right side
    322,805.16x = 54,445,743,499.39
  5. Step 5: Solve for x
    x = 54,445,743,499.39/322,805.16
  6. Step 6: Final answer
    x = 168,664.42

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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.