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Finding the Fourth Proportional to 385,029.60, 577,533.60 and 174,667.20

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Solution

The fourth proportional to 385,029.60, 577,533.60 and 174,667.20 is: 261,995.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,029.60 : 577,533.60 = 174,667.20 : x
  2. Step 2: Convert to fraction form
    385,029.60/577,533.60 = 174,667.20/x
  3. Step 3: Cross multiply
    385,029.60x = 577,533.60 × 174,667.20
  4. Step 4: Simplify right side
    385,029.60x = 100,876,176,817.92
  5. Step 5: Solve for x
    x = 100,876,176,817.92/385,029.60
  6. Step 6: Final answer
    x = 261,995.90

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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.