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Finding the Fourth Proportional to 618,638.16, 927,759.60 and 197,814

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Solution

The fourth proportional to 618,638.16, 927,759.60 and 197,814 is: 296,657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,638.16 : 927,759.60 = 197,814 : x
  2. Step 2: Convert to fraction form
    618,638.16/927,759.60 = 197,814/x
  3. Step 3: Cross multiply
    618,638.16x = 927,759.60 × 197,814
  4. Step 4: Simplify right side
    618,638.16x = 183,523,837,514.40
  5. Step 5: Solve for x
    x = 183,523,837,514.40/618,638.16
  6. Step 6: Final answer
    x = 296,657.80

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Why These Related Problems?

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