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Finding the Fourth Proportional to 377,658.54, 566,292.60 and 111,385.08

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Solution

The fourth proportional to 377,658.54, 566,292.60 and 111,385.08 is: 167,020.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,658.54 : 566,292.60 = 111,385.08 : x
  2. Step 2: Convert to fraction form
    377,658.54/566,292.60 = 111,385.08/x
  3. Step 3: Cross multiply
    377,658.54x = 566,292.60 × 111,385.08
  4. Step 4: Simplify right side
    377,658.54x = 63,076,546,554.41
  5. Step 5: Solve for x
    x = 63,076,546,554.41/377,658.54
  6. Step 6: Final answer
    x = 167,020.05

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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.