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Finding the Fourth Proportional to 500,491.31, 750,296.93 and 260,099.10

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Solution

The fourth proportional to 500,491.31, 750,296.93 and 260,099.10 is: 389,919.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,491.31 : 750,296.93 = 260,099.10 : x
  2. Step 2: Convert to fraction form
    500,491.31/750,296.93 = 260,099.10/x
  3. Step 3: Cross multiply
    500,491.31x = 750,296.93 × 260,099.10
  4. Step 4: Simplify right side
    500,491.31x = 195,151,554,925.27
  5. Step 5: Solve for x
    x = 195,151,554,925.27/500,491.31
  6. Step 6: Final answer
    x = 389,919.97

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Why These Related Problems?

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