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Finding the Fourth Proportional to 346,595.20, 519,892.80 and 232,433.80

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Solution

The fourth proportional to 346,595.20, 519,892.80 and 232,433.80 is: 348,650.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,595.20 : 519,892.80 = 232,433.80 : x
  2. Step 2: Convert to fraction form
    346,595.20/519,892.80 = 232,433.80/x
  3. Step 3: Cross multiply
    346,595.20x = 519,892.80 × 232,433.80
  4. Step 4: Simplify right side
    346,595.20x = 120,840,659,096.64
  5. Step 5: Solve for x
    x = 120,840,659,096.64/346,595.20
  6. Step 6: Final answer
    x = 348,650.70

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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.