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Finding the Fourth Proportional to 536,832, 740,842.34 and 291,833.24

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Solution

The fourth proportional to 536,832, 740,842.34 and 291,833.24 is: 402,737.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,832 : 740,842.34 = 291,833.24 : x
  2. Step 2: Convert to fraction form
    536,832/740,842.34 = 291,833.24/x
  3. Step 3: Cross multiply
    536,832x = 740,842.34 × 291,833.24
  4. Step 4: Simplify right side
    536,832x = 216,202,415,248.00
  5. Step 5: Solve for x
    x = 216,202,415,248.00/536,832
  6. Step 6: Final answer
    x = 402,737.57

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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.