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Finding the Fourth Proportional to 413,044.40, 619,420.80 and 146,813.60

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Solution

The fourth proportional to 413,044.40, 619,420.80 and 146,813.60 is: 220,168.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,044.40 : 619,420.80 = 146,813.60 : x
  2. Step 2: Convert to fraction form
    413,044.40/619,420.80 = 146,813.60/x
  3. Step 3: Cross multiply
    413,044.40x = 619,420.80 × 146,813.60
  4. Step 4: Simplify right side
    413,044.40x = 90,939,397,562.88
  5. Step 5: Solve for x
    x = 90,939,397,562.88/413,044.40
  6. Step 6: Final answer
    x = 220,168.58

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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.