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Finding the Fourth Proportional to 465,947.42, 697,896.63 and 385,068.74

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Solution

The fourth proportional to 465,947.42, 697,896.63 and 385,068.74 is: 576,756.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,947.42 : 697,896.63 = 385,068.74 : x
  2. Step 2: Convert to fraction form
    465,947.42/697,896.63 = 385,068.74/x
  3. Step 3: Cross multiply
    465,947.42x = 697,896.63 × 385,068.74
  4. Step 4: Simplify right side
    465,947.42x = 268,738,177,709.09
  5. Step 5: Solve for x
    x = 268,738,177,709.09/465,947.42
  6. Step 6: Final answer
    x = 576,756.45

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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.