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Finding the Fourth Proportional to 386,326.64, 533,148.01 and 214,233.03

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Solution

The fourth proportional to 386,326.64, 533,148.01 and 214,233.03 is: 295,651.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,326.64 : 533,148.01 = 214,233.03 : x
  2. Step 2: Convert to fraction form
    386,326.64/533,148.01 = 214,233.03/x
  3. Step 3: Cross multiply
    386,326.64x = 533,148.01 × 214,233.03
  4. Step 4: Simplify right side
    386,326.64x = 114,217,913,085.19
  5. Step 5: Solve for x
    x = 114,217,913,085.19/386,326.64
  6. Step 6: Final answer
    x = 295,651.14

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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.