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Finding the Fourth Proportional to 699,206.40, 964,656 and 412,583.04

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Solution

The fourth proportional to 699,206.40, 964,656 and 412,583.04 is: 569,217.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,206.40 : 964,656 = 412,583.04 : x
  2. Step 2: Convert to fraction form
    699,206.40/964,656 = 412,583.04/x
  3. Step 3: Cross multiply
    699,206.40x = 964,656 × 412,583.04
  4. Step 4: Simplify right side
    699,206.40x = 398,000,705,034.24
  5. Step 5: Solve for x
    x = 398,000,705,034.24/699,206.40
  6. Step 6: Final answer
    x = 569,217.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.