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Finding the Fourth Proportional to 640,434.32, 960,650.28 and 601,462

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Solution

The fourth proportional to 640,434.32, 960,650.28 and 601,462 is: 902,191.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,434.32 : 960,650.28 = 601,462 : x
  2. Step 2: Convert to fraction form
    640,434.32/960,650.28 = 601,462/x
  3. Step 3: Cross multiply
    640,434.32x = 960,650.28 × 601,462
  4. Step 4: Simplify right side
    640,434.32x = 577,794,638,709.36
  5. Step 5: Solve for x
    x = 577,794,638,709.36/640,434.32
  6. Step 6: Final answer
    x = 902,191.87

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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.