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Finding the Fourth Proportional to 387,514.85, 534,773.34 and 213,088.10

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Solution

The fourth proportional to 387,514.85, 534,773.34 and 213,088.10 is: 294,063.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,514.85 : 534,773.34 = 213,088.10 : x
  2. Step 2: Convert to fraction form
    387,514.85/534,773.34 = 213,088.10/x
  3. Step 3: Cross multiply
    387,514.85x = 534,773.34 × 213,088.10
  4. Step 4: Simplify right side
    387,514.85x = 113,953,832,277.39
  5. Step 5: Solve for x
    x = 113,953,832,277.39/387,514.85
  6. Step 6: Final answer
    x = 294,063.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.