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Finding the Fourth Proportional to 463,410.72, 695,128.23 and 147,867.32

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Solution

The fourth proportional to 463,410.72, 695,128.23 and 147,867.32 is: 221,804.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,410.72 : 695,128.23 = 147,867.32 : x
  2. Step 2: Convert to fraction form
    463,410.72/695,128.23 = 147,867.32/x
  3. Step 3: Cross multiply
    463,410.72x = 695,128.23 × 147,867.32
  4. Step 4: Simplify right side
    463,410.72x = 102,786,750,164.26
  5. Step 5: Solve for x
    x = 102,786,750,164.26/463,410.72
  6. Step 6: Final answer
    x = 221,804.86

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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.