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Finding the Fourth Proportional to 493,098.92, 739,206.12 and 177,335

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Solution

The fourth proportional to 493,098.92, 739,206.12 and 177,335 is: 265,843.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,098.92 : 739,206.12 = 177,335 : x
  2. Step 2: Convert to fraction form
    493,098.92/739,206.12 = 177,335/x
  3. Step 3: Cross multiply
    493,098.92x = 739,206.12 × 177,335
  4. Step 4: Simplify right side
    493,098.92x = 131,087,117,290.20
  5. Step 5: Solve for x
    x = 131,087,117,290.20/493,098.92
  6. Step 6: Final answer
    x = 265,843.45

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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.