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Finding the Fourth Proportional to 401,038.31, 601,621.68 and 161,151.77

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Solution

The fourth proportional to 401,038.31, 601,621.68 and 161,151.77 is: 241,753.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,038.31 : 601,621.68 = 161,151.77 : x
  2. Step 2: Convert to fraction form
    401,038.31/601,621.68 = 161,151.77/x
  3. Step 3: Cross multiply
    401,038.31x = 601,621.68 × 161,151.77
  4. Step 4: Simplify right side
    401,038.31x = 96,952,398,602.37
  5. Step 5: Solve for x
    x = 96,952,398,602.37/401,038.31
  6. Step 6: Final answer
    x = 241,753.46

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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.