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Finding the Fourth Proportional to 465,737.14, 699,094.28 and 412,768

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Solution

The fourth proportional to 465,737.14, 699,094.28 and 412,768 is: 619,585.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,737.14 : 699,094.28 = 412,768 : x
  2. Step 2: Convert to fraction form
    465,737.14/699,094.28 = 412,768/x
  3. Step 3: Cross multiply
    465,737.14x = 699,094.28 × 412,768
  4. Step 4: Simplify right side
    465,737.14x = 288,563,747,767.04
  5. Step 5: Solve for x
    x = 288,563,747,767.04/465,737.14
  6. Step 6: Final answer
    x = 619,585.00

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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.