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Finding the Fourth Proportional to 386,460.58, 533,315.11 and 214,404.64

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Solution

The fourth proportional to 386,460.58, 533,315.11 and 214,404.64 is: 295,878.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,460.58 : 533,315.11 = 214,404.64 : x
  2. Step 2: Convert to fraction form
    386,460.58/533,315.11 = 214,404.64/x
  3. Step 3: Cross multiply
    386,460.58x = 533,315.11 × 214,404.64
  4. Step 4: Simplify right side
    386,460.58x = 114,345,233,922.26
  5. Step 5: Solve for x
    x = 114,345,233,922.26/386,460.58
  6. Step 6: Final answer
    x = 295,878.13

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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.