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Finding the Fourth Proportional to 466,025.23, 699,030.71 and 209,676.74

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Solution

The fourth proportional to 466,025.23, 699,030.71 and 209,676.74 is: 314,511.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,025.23 : 699,030.71 = 209,676.74 : x
  2. Step 2: Convert to fraction form
    466,025.23/699,030.71 = 209,676.74/x
  3. Step 3: Cross multiply
    466,025.23x = 699,030.71 × 209,676.74
  4. Step 4: Simplify right side
    466,025.23x = 146,570,476,675.44
  5. Step 5: Solve for x
    x = 146,570,476,675.44/466,025.23
  6. Step 6: Final answer
    x = 314,511.89

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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.