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Finding the Fourth Proportional to 360,924.32, 497,961.06 and 209,992.16

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Solution

The fourth proportional to 360,924.32, 497,961.06 and 209,992.16 is: 289,722.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,924.32 : 497,961.06 = 209,992.16 : x
  2. Step 2: Convert to fraction form
    360,924.32/497,961.06 = 209,992.16/x
  3. Step 3: Cross multiply
    360,924.32x = 497,961.06 × 209,992.16
  4. Step 4: Simplify right side
    360,924.32x = 104,567,918,585.29
  5. Step 5: Solve for x
    x = 104,567,918,585.29/360,924.32
  6. Step 6: Final answer
    x = 289,722.56

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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.