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Finding the Fourth Proportional to 274,441.08, 411,604.02 and 77,403

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Solution

The fourth proportional to 274,441.08, 411,604.02 and 77,403 is: 116,088.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,441.08 : 411,604.02 = 77,403 : x
  2. Step 2: Convert to fraction form
    274,441.08/411,604.02 = 77,403/x
  3. Step 3: Cross multiply
    274,441.08x = 411,604.02 × 77,403
  4. Step 4: Simplify right side
    274,441.08x = 31,859,385,960.06
  5. Step 5: Solve for x
    x = 31,859,385,960.06/274,441.08
  6. Step 6: Final answer
    x = 116,088.25

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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.