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Finding the Fourth Proportional to 533,180.47, 735,788.94 and 291,464.05

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Solution

The fourth proportional to 533,180.47, 735,788.94 and 291,464.05 is: 402,220.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,180.47 : 735,788.94 = 291,464.05 : x
  2. Step 2: Convert to fraction form
    533,180.47/735,788.94 = 291,464.05/x
  3. Step 3: Cross multiply
    533,180.47x = 735,788.94 × 291,464.05
  4. Step 4: Simplify right side
    533,180.47x = 214,456,024,397.61
  5. Step 5: Solve for x
    x = 214,456,024,397.61/533,180.47
  6. Step 6: Final answer
    x = 402,220.33

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