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Finding the Fourth Proportional to 652,137.20, 978,205.80 and 593,088.20

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Solution

The fourth proportional to 652,137.20, 978,205.80 and 593,088.20 is: 889,632.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,137.20 : 978,205.80 = 593,088.20 : x
  2. Step 2: Convert to fraction form
    652,137.20/978,205.80 = 593,088.20/x
  3. Step 3: Cross multiply
    652,137.20x = 978,205.80 × 593,088.20
  4. Step 4: Simplify right side
    652,137.20x = 580,162,317,151.56
  5. Step 5: Solve for x
    x = 580,162,317,151.56/652,137.20
  6. Step 6: Final answer
    x = 889,632.30

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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.