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Finding the Fourth Proportional to 265,681.83, 398,078.97 and 186,654.59

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Solution

The fourth proportional to 265,681.83, 398,078.97 and 186,654.59 is: 279,670.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,681.83 : 398,078.97 = 186,654.59 : x
  2. Step 2: Convert to fraction form
    265,681.83/398,078.97 = 186,654.59/x
  3. Step 3: Cross multiply
    265,681.83x = 398,078.97 × 186,654.59
  4. Step 4: Simplify right side
    265,681.83x = 74,303,266,932.97
  5. Step 5: Solve for x
    x = 74,303,266,932.97/265,681.83
  6. Step 6: Final answer
    x = 279,670.11

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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.