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Finding the Fourth Proportional to 314,702.35, 472,094.74 and 115,116.73

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Solution

The fourth proportional to 314,702.35, 472,094.74 and 115,116.73 is: 172,690.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,702.35 : 472,094.74 = 115,116.73 : x
  2. Step 2: Convert to fraction form
    314,702.35/472,094.74 = 115,116.73/x
  3. Step 3: Cross multiply
    314,702.35x = 472,094.74 × 115,116.73
  4. Step 4: Simplify right side
    314,702.35x = 54,346,002,719.00
  5. Step 5: Solve for x
    x = 54,346,002,719.00/314,702.35
  6. Step 6: Final answer
    x = 172,690.17

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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.