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Finding the Fourth Proportional to 265,683.58, 398,081.60 and 186,656.34

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Solution

The fourth proportional to 265,683.58, 398,081.60 and 186,656.34 is: 279,672.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,683.58 : 398,081.60 = 186,656.34 : x
  2. Step 2: Convert to fraction form
    265,683.58/398,081.60 = 186,656.34/x
  3. Step 3: Cross multiply
    265,683.58x = 398,081.60 × 186,656.34
  4. Step 4: Simplify right side
    265,683.58x = 74,304,454,477.34
  5. Step 5: Solve for x
    x = 74,304,454,477.34/265,683.58
  6. Step 6: Final answer
    x = 279,672.74

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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.