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Finding the Fourth Proportional to 402,030.34, 601,749.66 and 221,832.48

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Solution

The fourth proportional to 402,030.34, 601,749.66 and 221,832.48 is: 332,033.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,030.34 : 601,749.66 = 221,832.48 : x
  2. Step 2: Convert to fraction form
    402,030.34/601,749.66 = 221,832.48/x
  3. Step 3: Cross multiply
    402,030.34x = 601,749.66 × 221,832.48
  4. Step 4: Simplify right side
    402,030.34x = 133,487,619,416.96
  5. Step 5: Solve for x
    x = 133,487,619,416.96/402,030.34
  6. Step 6: Final answer
    x = 332,033.70

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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.