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Finding the Fourth Proportional to 319,077.70, 478,616.55 and 201,271.30

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Solution

The fourth proportional to 319,077.70, 478,616.55 and 201,271.30 is: 301,906.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,077.70 : 478,616.55 = 201,271.30 : x
  2. Step 2: Convert to fraction form
    319,077.70/478,616.55 = 201,271.30/x
  3. Step 3: Cross multiply
    319,077.70x = 478,616.55 × 201,271.30
  4. Step 4: Simplify right side
    319,077.70x = 96,331,775,220.02
  5. Step 5: Solve for x
    x = 96,331,775,220.02/319,077.70
  6. Step 6: Final answer
    x = 301,906.95

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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.