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Finding the Fourth Proportional to 413,201.20, 619,801.80 and 146,970.40

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Solution

The fourth proportional to 413,201.20, 619,801.80 and 146,970.40 is: 220,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,201.20 : 619,801.80 = 146,970.40 : x
  2. Step 2: Convert to fraction form
    413,201.20/619,801.80 = 146,970.40/x
  3. Step 3: Cross multiply
    413,201.20x = 619,801.80 × 146,970.40
  4. Step 4: Simplify right side
    413,201.20x = 91,092,518,466.72
  5. Step 5: Solve for x
    x = 91,092,518,466.72/413,201.20
  6. Step 6: Final answer
    x = 220,455.60

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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.