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Finding the Fourth Proportional to 802,009.10, 1,203,069 and 233,394.91

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Solution

The fourth proportional to 802,009.10, 1,203,069 and 233,394.91 is: 350,108.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,009.10 : 1,203,069 = 233,394.91 : x
  2. Step 2: Convert to fraction form
    802,009.10/1,203,069 = 233,394.91/x
  3. Step 3: Cross multiply
    802,009.10x = 1,203,069 × 233,394.91
  4. Step 4: Simplify right side
    802,009.10x = 280,790,174,963.45
  5. Step 5: Solve for x
    x = 280,790,174,963.45/802,009.10
  6. Step 6: Final answer
    x = 350,108.47

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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.