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Finding the Fourth Proportional to 518,128.14, 714,988.32 and 285,509.27

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Solution

The fourth proportional to 518,128.14, 714,988.32 and 285,509.27 is: 393,987.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,128.14 : 714,988.32 = 285,509.27 : x
  2. Step 2: Convert to fraction form
    518,128.14/714,988.32 = 285,509.27/x
  3. Step 3: Cross multiply
    518,128.14x = 714,988.32 × 285,509.27
  4. Step 4: Simplify right side
    518,128.14x = 204,135,794,018.54
  5. Step 5: Solve for x
    x = 204,135,794,018.54/518,128.14
  6. Step 6: Final answer
    x = 393,987.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.