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Finding the Fourth Proportional to 533,496.48, 736,214.79 and 291,778.30

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Solution

The fourth proportional to 533,496.48, 736,214.79 and 291,778.30 is: 402,648.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,496.48 : 736,214.79 = 291,778.30 : x
  2. Step 2: Convert to fraction form
    533,496.48/736,214.79 = 291,778.30/x
  3. Step 3: Cross multiply
    533,496.48x = 736,214.79 × 291,778.30
  4. Step 4: Simplify right side
    533,496.48x = 214,811,499,861.06
  5. Step 5: Solve for x
    x = 214,811,499,861.06/533,496.48
  6. Step 6: Final answer
    x = 402,648.39

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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.