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Finding the Fourth Proportional to 614,139.40, 921,209.10 and 214,647.40

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Solution

The fourth proportional to 614,139.40, 921,209.10 and 214,647.40 is: 321,971.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,139.40 : 921,209.10 = 214,647.40 : x
  2. Step 2: Convert to fraction form
    614,139.40/921,209.10 = 214,647.40/x
  3. Step 3: Cross multiply
    614,139.40x = 921,209.10 × 214,647.40
  4. Step 4: Simplify right side
    614,139.40x = 197,735,138,171.34
  5. Step 5: Solve for x
    x = 197,735,138,171.34/614,139.40
  6. Step 6: Final answer
    x = 321,971.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.