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Finding the Fourth Proportional to 533,168.21, 735,822.42 and 291,486.47

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Solution

The fourth proportional to 533,168.21, 735,822.42 and 291,486.47 is: 402,278.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,168.21 : 735,822.42 = 291,486.47 : x
  2. Step 2: Convert to fraction form
    533,168.21/735,822.42 = 291,486.47/x
  3. Step 3: Cross multiply
    533,168.21x = 735,822.42 × 291,486.47
  4. Step 4: Simplify right side
    533,168.21x = 214,482,279,752.66
  5. Step 5: Solve for x
    x = 214,482,279,752.66/533,168.21
  6. Step 6: Final answer
    x = 402,278.82

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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.