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Finding the Fourth Proportional to 386,774.72, 580,392.16 and 209,278.16

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Solution

The fourth proportional to 386,774.72, 580,392.16 and 209,278.16 is: 314,041.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,774.72 : 580,392.16 = 209,278.16 : x
  2. Step 2: Convert to fraction form
    386,774.72/580,392.16 = 209,278.16/x
  3. Step 3: Cross multiply
    386,774.72x = 580,392.16 × 209,278.16
  4. Step 4: Simplify right side
    386,774.72x = 121,463,403,323.23
  5. Step 5: Solve for x
    x = 121,463,403,323.23/386,774.72
  6. Step 6: Final answer
    x = 314,041.73

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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.