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Finding the Fourth Proportional to 274,364.72, 411,463.32 and 96,830.32

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Solution

The fourth proportional to 274,364.72, 411,463.32 and 96,830.32 is: 145,215.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,364.72 : 411,463.32 = 96,830.32 : x
  2. Step 2: Convert to fraction form
    274,364.72/411,463.32 = 96,830.32/x
  3. Step 3: Cross multiply
    274,364.72x = 411,463.32 × 96,830.32
  4. Step 4: Simplify right side
    274,364.72x = 39,842,124,943.86
  5. Step 5: Solve for x
    x = 39,842,124,943.86/274,364.72
  6. Step 6: Final answer
    x = 145,215.92

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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.