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Finding the Fourth Proportional to 463,196.08, 639,064.93 and 259,214.59

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Solution

The fourth proportional to 463,196.08, 639,064.93 and 259,214.59 is: 357,634.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,196.08 : 639,064.93 = 259,214.59 : x
  2. Step 2: Convert to fraction form
    463,196.08/639,064.93 = 259,214.59/x
  3. Step 3: Cross multiply
    463,196.08x = 639,064.93 × 259,214.59
  4. Step 4: Simplify right side
    463,196.08x = 165,654,953,813.33
  5. Step 5: Solve for x
    x = 165,654,953,813.33/463,196.08
  6. Step 6: Final answer
    x = 357,634.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.