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Finding the Fourth Proportional to 658,833, 988,162.14 and 185,555.56

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Solution

The fourth proportional to 658,833, 988,162.14 and 185,555.56 is: 278,308.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,833 : 988,162.14 = 185,555.56 : x
  2. Step 2: Convert to fraction form
    658,833/988,162.14 = 185,555.56/x
  3. Step 3: Cross multiply
    658,833x = 988,162.14 × 185,555.56
  4. Step 4: Simplify right side
    658,833x = 183,358,979,258.50
  5. Step 5: Solve for x
    x = 183,358,979,258.50/658,833
  6. Step 6: Final answer
    x = 278,308.74

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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.