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Finding the Fourth Proportional to 533,056.84, 735,635.46 and 291,334.12

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Solution

The fourth proportional to 533,056.84, 735,635.46 and 291,334.12 is: 402,050.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,056.84 : 735,635.46 = 291,334.12 : x
  2. Step 2: Convert to fraction form
    533,056.84/735,635.46 = 291,334.12/x
  3. Step 3: Cross multiply
    533,056.84x = 735,635.46 × 291,334.12
  4. Step 4: Simplify right side
    533,056.84x = 214,315,709,379.90
  5. Step 5: Solve for x
    x = 214,315,709,379.90/533,056.84
  6. Step 6: Final answer
    x = 402,050.39

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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.