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Finding the Fourth Proportional to 518,078.41, 714,751.59 and 314,054.89

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Solution

The fourth proportional to 518,078.41, 714,751.59 and 314,054.89 is: 433,276.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,078.41 : 714,751.59 = 314,054.89 : x
  2. Step 2: Convert to fraction form
    518,078.41/714,751.59 = 314,054.89/x
  3. Step 3: Cross multiply
    518,078.41x = 714,751.59 × 314,054.89
  4. Step 4: Simplify right side
    518,078.41x = 224,471,231,974.78
  5. Step 5: Solve for x
    x = 224,471,231,974.78/518,078.41
  6. Step 6: Final answer
    x = 433,276.56

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Why These Related Problems?

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