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Finding the Fourth Proportional to 333,011.90, 499,517.85 and 146,023.40

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Solution

The fourth proportional to 333,011.90, 499,517.85 and 146,023.40 is: 219,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,011.90 : 499,517.85 = 146,023.40 : x
  2. Step 2: Convert to fraction form
    333,011.90/499,517.85 = 146,023.40/x
  3. Step 3: Cross multiply
    333,011.90x = 499,517.85 × 146,023.40
  4. Step 4: Simplify right side
    333,011.90x = 72,941,294,817.69
  5. Step 5: Solve for x
    x = 72,941,294,817.69/333,011.90
  6. Step 6: Final answer
    x = 219,035.10

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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.