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Finding the Fourth Proportional to 463,569.12, 695,665.26 and 164,048.40

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Solution

The fourth proportional to 463,569.12, 695,665.26 and 164,048.40 is: 246,182.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,569.12 : 695,665.26 = 164,048.40 : x
  2. Step 2: Convert to fraction form
    463,569.12/695,665.26 = 164,048.40/x
  3. Step 3: Cross multiply
    463,569.12x = 695,665.26 × 164,048.40
  4. Step 4: Simplify right side
    463,569.12x = 114,122,772,838.58
  5. Step 5: Solve for x
    x = 114,122,772,838.58/463,569.12
  6. Step 6: Final answer
    x = 246,182.86

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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.