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Finding the Fourth Proportional to 533,856.69, 736,722.30 and 292,139.31

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Solution

The fourth proportional to 533,856.69, 736,722.30 and 292,139.31 is: 403,152.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,856.69 : 736,722.30 = 292,139.31 : x
  2. Step 2: Convert to fraction form
    533,856.69/736,722.30 = 292,139.31/x
  3. Step 3: Cross multiply
    533,856.69x = 736,722.30 × 292,139.31
  4. Step 4: Simplify right side
    533,856.69x = 215,225,548,241.84
  5. Step 5: Solve for x
    x = 215,225,548,241.84/533,856.69
  6. Step 6: Final answer
    x = 403,152.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.