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Finding the Fourth Proportional to 495,792.86, 684,193.92 and 269,438.36

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Solution

The fourth proportional to 495,792.86, 684,193.92 and 269,438.36 is: 371,824.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,792.86 : 684,193.92 = 269,438.36 : x
  2. Step 2: Convert to fraction form
    495,792.86/684,193.92 = 269,438.36/x
  3. Step 3: Cross multiply
    495,792.86x = 684,193.92 × 269,438.36
  4. Step 4: Simplify right side
    495,792.86x = 184,348,087,726.77
  5. Step 5: Solve for x
    x = 184,348,087,726.77/495,792.86
  6. Step 6: Final answer
    x = 371,824.81

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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.