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Finding the Fourth Proportional to 346,753.44, 520,149.60 and 97,416

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Solution

The fourth proportional to 346,753.44, 520,149.60 and 97,416 is: 146,129.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,753.44 : 520,149.60 = 97,416 : x
  2. Step 2: Convert to fraction form
    346,753.44/520,149.60 = 97,416/x
  3. Step 3: Cross multiply
    346,753.44x = 520,149.60 × 97,416
  4. Step 4: Simplify right side
    346,753.44x = 50,670,893,433.60
  5. Step 5: Solve for x
    x = 50,670,893,433.60/346,753.44
  6. Step 6: Final answer
    x = 146,129.46

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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.