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Finding the Fourth Proportional to 463,411.72, 695,129.73 and 147,868.32

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Solution

The fourth proportional to 463,411.72, 695,129.73 and 147,868.32 is: 221,806.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,411.72 : 695,129.73 = 147,868.32 : x
  2. Step 2: Convert to fraction form
    463,411.72/695,129.73 = 147,868.32/x
  3. Step 3: Cross multiply
    463,411.72x = 695,129.73 × 147,868.32
  4. Step 4: Simplify right side
    463,411.72x = 102,787,665,357.15
  5. Step 5: Solve for x
    x = 102,787,665,357.15/463,411.72
  6. Step 6: Final answer
    x = 221,806.36

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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.