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Finding the Fourth Proportional to 390,416, 538,774.08 and 211,568

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Solution

The fourth proportional to 390,416, 538,774.08 and 211,568 is: 291,963.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,416 : 538,774.08 = 211,568 : x
  2. Step 2: Convert to fraction form
    390,416/538,774.08 = 211,568/x
  3. Step 3: Cross multiply
    390,416x = 538,774.08 × 211,568
  4. Step 4: Simplify right side
    390,416x = 113,987,354,557.44
  5. Step 5: Solve for x
    x = 113,987,354,557.44/390,416
  6. Step 6: Final answer
    x = 291,963.84

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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.