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Finding the Fourth Proportional to 384,486.48, 530,592.48 and 214,727.04

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Solution

The fourth proportional to 384,486.48, 530,592.48 and 214,727.04 is: 296,323.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,486.48 : 530,592.48 = 214,727.04 : x
  2. Step 2: Convert to fraction form
    384,486.48/530,592.48 = 214,727.04/x
  3. Step 3: Cross multiply
    384,486.48x = 530,592.48 × 214,727.04
  4. Step 4: Simplify right side
    384,486.48x = 113,932,552,676.66
  5. Step 5: Solve for x
    x = 113,932,552,676.66/384,486.48
  6. Step 6: Final answer
    x = 296,323.95

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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.