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Finding the Fourth Proportional to 463,590.54, 695,444.13 and 164,000.70

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Solution

The fourth proportional to 463,590.54, 695,444.13 and 164,000.70 is: 246,021.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,590.54 : 695,444.13 = 164,000.70 : x
  2. Step 2: Convert to fraction form
    463,590.54/695,444.13 = 164,000.70/x
  3. Step 3: Cross multiply
    463,590.54x = 695,444.13 × 164,000.70
  4. Step 4: Simplify right side
    463,590.54x = 114,053,324,130.89
  5. Step 5: Solve for x
    x = 114,053,324,130.89/463,590.54
  6. Step 6: Final answer
    x = 246,021.68

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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.