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Finding the Fourth Proportional to 652,158.02, 899,978.09 and 365,678.13

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Solution

The fourth proportional to 652,158.02, 899,978.09 and 365,678.13 is: 504,635.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,158.02 : 899,978.09 = 365,678.13 : x
  2. Step 2: Convert to fraction form
    652,158.02/899,978.09 = 365,678.13/x
  3. Step 3: Cross multiply
    652,158.02x = 899,978.09 × 365,678.13
  4. Step 4: Simplify right side
    652,158.02x = 329,102,303,163.78
  5. Step 5: Solve for x
    x = 329,102,303,163.78/652,158.02
  6. Step 6: Final answer
    x = 504,635.83

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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.