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Finding the Fourth Proportional to 468,460.58, 702,585.65 and 215,498.09

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Solution

The fourth proportional to 468,460.58, 702,585.65 and 215,498.09 is: 323,198.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,460.58 : 702,585.65 = 215,498.09 : x
  2. Step 2: Convert to fraction form
    468,460.58/702,585.65 = 215,498.09/x
  3. Step 3: Cross multiply
    468,460.58x = 702,585.65 × 215,498.09
  4. Step 4: Simplify right side
    468,460.58x = 151,405,867,931.62
  5. Step 5: Solve for x
    x = 151,405,867,931.62/468,460.58
  6. Step 6: Final answer
    x = 323,198.74

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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.