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Finding the Fourth Proportional to 257,431.52, 385,339.44 and 177,000.14

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Solution

The fourth proportional to 257,431.52, 385,339.44 and 177,000.14 is: 264,944.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,431.52 : 385,339.44 = 177,000.14 : x
  2. Step 2: Convert to fraction form
    257,431.52/385,339.44 = 177,000.14/x
  3. Step 3: Cross multiply
    257,431.52x = 385,339.44 × 177,000.14
  4. Step 4: Simplify right side
    257,431.52x = 68,205,134,827.52
  5. Step 5: Solve for x
    x = 68,205,134,827.52/257,431.52
  6. Step 6: Final answer
    x = 264,944.77

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1.5x scale

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.