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Finding the Fourth Proportional to 400,970.16, 601,382.58 and 161,074.38

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Solution

The fourth proportional to 400,970.16, 601,382.58 and 161,074.38 is: 241,582.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,970.16 : 601,382.58 = 161,074.38 : x
  2. Step 2: Convert to fraction form
    400,970.16/601,382.58 = 161,074.38/x
  3. Step 3: Cross multiply
    400,970.16x = 601,382.58 × 161,074.38
  4. Step 4: Simplify right side
    400,970.16x = 96,867,326,216.30
  5. Step 5: Solve for x
    x = 96,867,326,216.30/400,970.16
  6. Step 6: Final answer
    x = 241,582.38

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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.