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Finding the Fourth Proportional to 485,724.60, 728,271.54 and 232,999.20

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Solution

The fourth proportional to 485,724.60, 728,271.54 and 232,999.20 is: 349,347.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,724.60 : 728,271.54 = 232,999.20 : x
  2. Step 2: Convert to fraction form
    485,724.60/728,271.54 = 232,999.20/x
  3. Step 3: Cross multiply
    485,724.60x = 728,271.54 × 232,999.20
  4. Step 4: Simplify right side
    485,724.60x = 169,686,686,202.77
  5. Step 5: Solve for x
    x = 169,686,686,202.77/485,724.60
  6. Step 6: Final answer
    x = 349,347.52

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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.