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Finding the Fourth Proportional to 356,859.86, 492,472.91 and 195,713.50

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Solution

The fourth proportional to 356,859.86, 492,472.91 and 195,713.50 is: 270,088.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,859.86 : 492,472.91 = 195,713.50 : x
  2. Step 2: Convert to fraction form
    356,859.86/492,472.91 = 195,713.50/x
  3. Step 3: Cross multiply
    356,859.86x = 492,472.91 × 195,713.50
  4. Step 4: Simplify right side
    356,859.86x = 96,383,593,430.35
  5. Step 5: Solve for x
    x = 96,383,593,430.35/356,859.86
  6. Step 6: Final answer
    x = 270,088.08

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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.