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Finding the Fourth Proportional to 652,003.80, 978,005.70 and 628,384.20

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Solution

The fourth proportional to 652,003.80, 978,005.70 and 628,384.20 is: 942,576.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,003.80 : 978,005.70 = 628,384.20 : x
  2. Step 2: Convert to fraction form
    652,003.80/978,005.70 = 628,384.20/x
  3. Step 3: Cross multiply
    652,003.80x = 978,005.70 × 628,384.20
  4. Step 4: Simplify right side
    652,003.80x = 614,563,329,389.94
  5. Step 5: Solve for x
    x = 614,563,329,389.94/652,003.80
  6. Step 6: Final answer
    x = 942,576.30

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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.