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Finding the Fourth Proportional to 601,219.26, 829,832.31 and 346,723.74

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Solution

The fourth proportional to 601,219.26, 829,832.31 and 346,723.74 is: 478,565.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,219.26 : 829,832.31 = 346,723.74 : x
  2. Step 2: Convert to fraction form
    601,219.26/829,832.31 = 346,723.74/x
  3. Step 3: Cross multiply
    601,219.26x = 829,832.31 × 346,723.74
  4. Step 4: Simplify right side
    601,219.26x = 287,722,562,096.04
  5. Step 5: Solve for x
    x = 287,722,562,096.04/601,219.26
  6. Step 6: Final answer
    x = 478,565.11

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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.