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Finding the Fourth Proportional to 518,383.02, 715,460.14 and 411,766.78

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Solution

The fourth proportional to 518,383.02, 715,460.14 and 411,766.78 is: 568,310.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,383.02 : 715,460.14 = 411,766.78 : x
  2. Step 2: Convert to fraction form
    518,383.02/715,460.14 = 411,766.78/x
  3. Step 3: Cross multiply
    518,383.02x = 715,460.14 × 411,766.78
  4. Step 4: Simplify right side
    518,383.02x = 294,602,718,066.15
  5. Step 5: Solve for x
    x = 294,602,718,066.15/518,383.02
  6. Step 6: Final answer
    x = 568,310.90

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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.