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Finding the Fourth Proportional to 519,309, 778,963.50 and 125,325

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Solution

The fourth proportional to 519,309, 778,963.50 and 125,325 is: 187,987.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,309 : 778,963.50 = 125,325 : x
  2. Step 2: Convert to fraction form
    519,309/778,963.50 = 125,325/x
  3. Step 3: Cross multiply
    519,309x = 778,963.50 × 125,325
  4. Step 4: Simplify right side
    519,309x = 97,623,600,637.50
  5. Step 5: Solve for x
    x = 97,623,600,637.50/519,309
  6. Step 6: Final answer
    x = 187,987.50

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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.