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Finding the Fourth Proportional to 463,364.46, 695,103.93 and 163,783.26

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Solution

The fourth proportional to 463,364.46, 695,103.93 and 163,783.26 is: 245,695.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,364.46 : 695,103.93 = 163,783.26 : x
  2. Step 2: Convert to fraction form
    463,364.46/695,103.93 = 163,783.26/x
  3. Step 3: Cross multiply
    463,364.46x = 695,103.93 × 163,783.26
  4. Step 4: Simplify right side
    463,364.46x = 113,846,387,694.21
  5. Step 5: Solve for x
    x = 113,846,387,694.21/463,364.46
  6. Step 6: Final answer
    x = 245,695.12

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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.