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Finding the Fourth Proportional to 385,094.92, 577,588.92 and 118,864.12

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Solution

The fourth proportional to 385,094.92, 577,588.92 and 118,864.12 is: 178,279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,094.92 : 577,588.92 = 118,864.12 : x
  2. Step 2: Convert to fraction form
    385,094.92/577,588.92 = 118,864.12/x
  3. Step 3: Cross multiply
    385,094.92x = 577,588.92 × 118,864.12
  4. Step 4: Simplify right side
    385,094.92x = 68,654,598,697.55
  5. Step 5: Solve for x
    x = 68,654,598,697.55/385,094.92
  6. Step 6: Final answer
    x = 178,279.68

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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.