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Finding the Fourth Proportional to 665,009.24, 997,654.14 and 215,695.22

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Solution

The fourth proportional to 665,009.24, 997,654.14 and 215,695.22 is: 323,588.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,009.24 : 997,654.14 = 215,695.22 : x
  2. Step 2: Convert to fraction form
    665,009.24/997,654.14 = 215,695.22/x
  3. Step 3: Cross multiply
    665,009.24x = 997,654.14 × 215,695.22
  4. Step 4: Simplify right side
    665,009.24x = 215,189,224,222.94
  5. Step 5: Solve for x
    x = 215,189,224,222.94/665,009.24
  6. Step 6: Final answer
    x = 323,588.32

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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.