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Finding the Fourth Proportional to 322,347, 483,608 and 97,714.77

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Solution

The fourth proportional to 322,347, 483,608 and 97,714.77 is: 146,598.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,347 : 483,608 = 97,714.77 : x
  2. Step 2: Convert to fraction form
    322,347/483,608 = 97,714.77/x
  3. Step 3: Cross multiply
    322,347x = 483,608 × 97,714.77
  4. Step 4: Simplify right side
    322,347x = 47,255,644,490.16
  5. Step 5: Solve for x
    x = 47,255,644,490.16/322,347
  6. Step 6: Final answer
    x = 146,598.68

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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.