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Finding the Fourth Proportional to 401,459.92, 601,999.20 and 233,032.20

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Solution

The fourth proportional to 401,459.92, 601,999.20 and 233,032.20 is: 349,437.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,459.92 : 601,999.20 = 233,032.20 : x
  2. Step 2: Convert to fraction form
    401,459.92/601,999.20 = 233,032.20/x
  3. Step 3: Cross multiply
    401,459.92x = 601,999.20 × 233,032.20
  4. Step 4: Simplify right side
    401,459.92x = 140,285,197,974.24
  5. Step 5: Solve for x
    x = 140,285,197,974.24/401,459.92
  6. Step 6: Final answer
    x = 349,437.62

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1.5x scale

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.