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Finding the Fourth Proportional to 714,430.16, 1,071,645.22 and 215,794.16

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Solution

The fourth proportional to 714,430.16, 1,071,645.22 and 215,794.16 is: 323,691.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,430.16 : 1,071,645.22 = 215,794.16 : x
  2. Step 2: Convert to fraction form
    714,430.16/1,071,645.22 = 215,794.16/x
  3. Step 3: Cross multiply
    714,430.16x = 1,071,645.22 × 215,794.16
  4. Step 4: Simplify right side
    714,430.16x = 231,254,780,067.92
  5. Step 5: Solve for x
    x = 231,254,780,067.92/714,430.16
  6. Step 6: Final answer
    x = 323,691.23

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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.