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Finding the Fourth Proportional to 519,837.30, 780,101.55 and 295,197.30

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Solution

The fourth proportional to 519,837.30, 780,101.55 and 295,197.30 is: 442,992.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,837.30 : 780,101.55 = 295,197.30 : x
  2. Step 2: Convert to fraction form
    519,837.30/780,101.55 = 295,197.30/x
  3. Step 3: Cross multiply
    519,837.30x = 780,101.55 × 295,197.30
  4. Step 4: Simplify right side
    519,837.30x = 230,283,871,285.82
  5. Step 5: Solve for x
    x = 230,283,871,285.82/519,837.30
  6. Step 6: Final answer
    x = 442,992.20

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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.