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Finding the Fourth Proportional to 533,132.15, 735,722.37 and 291,415.66

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Solution

The fourth proportional to 533,132.15, 735,722.37 and 291,415.66 is: 402,153.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,132.15 : 735,722.37 = 291,415.66 : x
  2. Step 2: Convert to fraction form
    533,132.15/735,722.37 = 291,415.66/x
  3. Step 3: Cross multiply
    533,132.15x = 735,722.37 × 291,415.66
  4. Step 4: Simplify right side
    533,132.15x = 214,401,018,191.01
  5. Step 5: Solve for x
    x = 214,401,018,191.01/533,132.15
  6. Step 6: Final answer
    x = 402,153.61

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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.