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Finding the Fourth Proportional to 456,362.71, 684,398.48 and 156,771.05

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Solution

The fourth proportional to 456,362.71, 684,398.48 and 156,771.05 is: 235,106.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,362.71 : 684,398.48 = 156,771.05 : x
  2. Step 2: Convert to fraction form
    456,362.71/684,398.48 = 156,771.05/x
  3. Step 3: Cross multiply
    456,362.71x = 684,398.48 × 156,771.05
  4. Step 4: Simplify right side
    456,362.71x = 107,293,864,906.01
  5. Step 5: Solve for x
    x = 107,293,864,906.01/456,362.71
  6. Step 6: Final answer
    x = 235,106.56

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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.