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Finding the Fourth Proportional to 465,994.12, 697,870.09 and 265,707.30

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Solution

The fourth proportional to 465,994.12, 697,870.09 and 265,707.30 is: 397,921.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,994.12 : 697,870.09 = 265,707.30 : x
  2. Step 2: Convert to fraction form
    465,994.12/697,870.09 = 265,707.30/x
  3. Step 3: Cross multiply
    465,994.12x = 697,870.09 × 265,707.30
  4. Step 4: Simplify right side
    465,994.12x = 185,429,177,364.66
  5. Step 5: Solve for x
    x = 185,429,177,364.66/465,994.12
  6. Step 6: Final answer
    x = 397,921.71

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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.