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Finding the Fourth Proportional to 726,314, 1,090,153.57 and 380,345.80

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Solution

The fourth proportional to 726,314, 1,090,153.57 and 380,345.80 is: 570,876.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,314 : 1,090,153.57 = 380,345.80 : x
  2. Step 2: Convert to fraction form
    726,314/1,090,153.57 = 380,345.80/x
  3. Step 3: Cross multiply
    726,314x = 1,090,153.57 × 380,345.80
  4. Step 4: Simplify right side
    726,314x = 414,635,331,704.51
  5. Step 5: Solve for x
    x = 414,635,331,704.51/726,314
  6. Step 6: Final answer
    x = 570,876.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.