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Finding the Fourth Proportional to 657,648.60, 986,472.90 and 214,416.60

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Solution

The fourth proportional to 657,648.60, 986,472.90 and 214,416.60 is: 321,624.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,648.60 : 986,472.90 = 214,416.60 : x
  2. Step 2: Convert to fraction form
    657,648.60/986,472.90 = 214,416.60/x
  3. Step 3: Cross multiply
    657,648.60x = 986,472.90 × 214,416.60
  4. Step 4: Simplify right side
    657,648.60x = 211,516,165,210.14
  5. Step 5: Solve for x
    x = 211,516,165,210.14/657,648.60
  6. Step 6: Final answer
    x = 321,624.90

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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.