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Finding the Fourth Proportional to 354,468.60, 531,702.90 and 117,847.80

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Solution

The fourth proportional to 354,468.60, 531,702.90 and 117,847.80 is: 176,771.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,468.60 : 531,702.90 = 117,847.80 : x
  2. Step 2: Convert to fraction form
    354,468.60/531,702.90 = 117,847.80/x
  3. Step 3: Cross multiply
    354,468.60x = 531,702.90 × 117,847.80
  4. Step 4: Simplify right side
    354,468.60x = 62,660,017,018.62
  5. Step 5: Solve for x
    x = 62,660,017,018.62/354,468.60
  6. Step 6: Final answer
    x = 176,771.70

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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.