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Finding the Fourth Proportional to 265,680.83, 398,077.47 and 186,653.59

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Solution

The fourth proportional to 265,680.83, 398,077.47 and 186,653.59 is: 279,668.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,680.83 : 398,077.47 = 186,653.59 : x
  2. Step 2: Convert to fraction form
    265,680.83/398,077.47 = 186,653.59/x
  3. Step 3: Cross multiply
    265,680.83x = 398,077.47 × 186,653.59
  4. Step 4: Simplify right side
    265,680.83x = 74,302,587,878.42
  5. Step 5: Solve for x
    x = 74,302,587,878.42/265,680.83
  6. Step 6: Final answer
    x = 279,668.61

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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.