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Finding the Fourth Proportional to 346,323.30, 519,412.05 and 146,650.20

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Solution

The fourth proportional to 346,323.30, 519,412.05 and 146,650.20 is: 219,944.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,323.30 : 519,412.05 = 146,650.20 : x
  2. Step 2: Convert to fraction form
    346,323.30/519,412.05 = 146,650.20/x
  3. Step 3: Cross multiply
    346,323.30x = 519,412.05 × 146,650.20
  4. Step 4: Simplify right side
    346,323.30x = 76,171,881,014.91
  5. Step 5: Solve for x
    x = 76,171,881,014.91/346,323.30
  6. Step 6: Final answer
    x = 219,944.43

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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.