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Finding the Fourth Proportional to 413,762.61, 620,642.99 and 110,156.85

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Solution

The fourth proportional to 413,762.61, 620,642.99 and 110,156.85 is: 165,235.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,762.61 : 620,642.99 = 110,156.85 : x
  2. Step 2: Convert to fraction form
    413,762.61/620,642.99 = 110,156.85/x
  3. Step 3: Cross multiply
    413,762.61x = 620,642.99 × 110,156.85
  4. Step 4: Simplify right side
    413,762.61x = 68,368,076,202.20
  5. Step 5: Solve for x
    x = 68,368,076,202.20/413,762.61
  6. Step 6: Final answer
    x = 165,235.03

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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.