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Finding the Fourth Proportional to 434,816.10, 652,224.15 and 400,601.70

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Solution

The fourth proportional to 434,816.10, 652,224.15 and 400,601.70 is: 600,902.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,816.10 : 652,224.15 = 400,601.70 : x
  2. Step 2: Convert to fraction form
    434,816.10/652,224.15 = 400,601.70/x
  3. Step 3: Cross multiply
    434,816.10x = 652,224.15 × 400,601.70
  4. Step 4: Simplify right side
    434,816.10x = 261,282,103,271.06
  5. Step 5: Solve for x
    x = 261,282,103,271.06/434,816.10
  6. Step 6: Final answer
    x = 600,902.55

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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.