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Finding the Fourth Proportional to 474,648.12, 711,881.46 and 142,224.12

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Solution

The fourth proportional to 474,648.12, 711,881.46 and 142,224.12 is: 213,309.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,648.12 : 711,881.46 = 142,224.12 : x
  2. Step 2: Convert to fraction form
    474,648.12/711,881.46 = 142,224.12/x
  3. Step 3: Cross multiply
    474,648.12x = 711,881.46 × 142,224.12
  4. Step 4: Simplify right side
    474,648.12x = 101,246,714,192.82
  5. Step 5: Solve for x
    x = 101,246,714,192.82/474,648.12
  6. Step 6: Final answer
    x = 213,309.00

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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.