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Finding the Fourth Proportional to 1,223,324.10, 1,834,986.15 and 514,736.10

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Solution

The fourth proportional to 1,223,324.10, 1,834,986.15 and 514,736.10 is: 772,104.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223,324.10 : 1,834,986.15 = 514,736.10 : x
  2. Step 2: Convert to fraction form
    1,223,324.10/1,834,986.15 = 514,736.10/x
  3. Step 3: Cross multiply
    1,223,324.10x = 1,834,986.15 × 514,736.10
  4. Step 4: Simplify right side
    1,223,324.10x = 944,533,614,405.02
  5. Step 5: Solve for x
    x = 944,533,614,405.02/1,223,324.10
  6. Step 6: Final answer
    x = 772,104.15

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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.