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Finding the Fourth Proportional to 456,362.39, 684,398.01 and 156,770.73

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Solution

The fourth proportional to 456,362.39, 684,398.01 and 156,770.73 is: 235,106.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,362.39 : 684,398.01 = 156,770.73 : x
  2. Step 2: Convert to fraction form
    456,362.39/684,398.01 = 156,770.73/x
  3. Step 3: Cross multiply
    456,362.39x = 684,398.01 × 156,770.73
  4. Step 4: Simplify right side
    456,362.39x = 107,293,575,638.25
  5. Step 5: Solve for x
    x = 107,293,575,638.25/456,362.39
  6. Step 6: Final answer
    x = 235,106.09

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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.