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Finding the Fourth Proportional to 463,712.85, 695,440.80 and 164,154.02

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Solution

The fourth proportional to 463,712.85, 695,440.80 and 164,154.02 is: 246,185.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,712.85 : 695,440.80 = 164,154.02 : x
  2. Step 2: Convert to fraction form
    463,712.85/695,440.80 = 164,154.02/x
  3. Step 3: Cross multiply
    463,712.85x = 695,440.80 × 164,154.02
  4. Step 4: Simplify right side
    463,712.85x = 114,159,399,514.81
  5. Step 5: Solve for x
    x = 114,159,399,514.81/463,712.85
  6. Step 6: Final answer
    x = 246,185.54

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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.