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Finding the Fourth Proportional to 465,506.04, 697,608 and 251,812.56

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Solution

The fourth proportional to 465,506.04, 697,608 and 251,812.56 is: 377,366.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,506.04 : 697,608 = 251,812.56 : x
  2. Step 2: Convert to fraction form
    465,506.04/697,608 = 251,812.56/x
  3. Step 3: Cross multiply
    465,506.04x = 697,608 × 251,812.56
  4. Step 4: Simplify right side
    465,506.04x = 175,666,456,356.48
  5. Step 5: Solve for x
    x = 175,666,456,356.48/465,506.04
  6. Step 6: Final answer
    x = 377,366.65

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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.