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Finding the Fourth Proportional to 432,005.70, 648,202.95 and 151,724.10

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Solution

The fourth proportional to 432,005.70, 648,202.95 and 151,724.10 is: 227,654.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,005.70 : 648,202.95 = 151,724.10 : x
  2. Step 2: Convert to fraction form
    432,005.70/648,202.95 = 151,724.10/x
  3. Step 3: Cross multiply
    432,005.70x = 648,202.95 × 151,724.10
  4. Step 4: Simplify right side
    432,005.70x = 98,348,009,206.10
  5. Step 5: Solve for x
    x = 98,348,009,206.10/432,005.70
  6. Step 6: Final answer
    x = 227,654.42

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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.