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Finding the Fourth Proportional to 385,264.10, 577,897.95 and 135,946.10

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Solution

The fourth proportional to 385,264.10, 577,897.95 and 135,946.10 is: 203,919.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,264.10 : 577,897.95 = 135,946.10 : x
  2. Step 2: Convert to fraction form
    385,264.10/577,897.95 = 135,946.10/x
  3. Step 3: Cross multiply
    385,264.10x = 577,897.95 × 135,946.10
  4. Step 4: Simplify right side
    385,264.10x = 78,562,972,500.50
  5. Step 5: Solve for x
    x = 78,562,972,500.50/385,264.10
  6. Step 6: Final answer
    x = 203,919.79

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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.