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Finding the Fourth Proportional to 495,693.84, 684,063.72 and 269,343.12

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Solution

The fourth proportional to 495,693.84, 684,063.72 and 269,343.12 is: 371,696.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,693.84 : 684,063.72 = 269,343.12 : x
  2. Step 2: Convert to fraction form
    495,693.84/684,063.72 = 269,343.12/x
  3. Step 3: Cross multiply
    495,693.84x = 684,063.72 × 269,343.12
  4. Step 4: Simplify right side
    495,693.84x = 184,247,856,623.61
  5. Step 5: Solve for x
    x = 184,247,856,623.61/495,693.84
  6. Step 6: Final answer
    x = 371,696.89

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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.