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Finding the Fourth Proportional to 213,710.40, 320,565.60 and 199,713.60

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Solution

The fourth proportional to 213,710.40, 320,565.60 and 199,713.60 is: 299,570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,710.40 : 320,565.60 = 199,713.60 : x
  2. Step 2: Convert to fraction form
    213,710.40/320,565.60 = 199,713.60/x
  3. Step 3: Cross multiply
    213,710.40x = 320,565.60 × 199,713.60
  4. Step 4: Simplify right side
    213,710.40x = 64,021,310,012.16
  5. Step 5: Solve for x
    x = 64,021,310,012.16/213,710.40
  6. Step 6: Final answer
    x = 299,570.40

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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.