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Finding the Fourth Proportional to 315,705.30, 473,765.54 and 116,027.40

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Solution

The fourth proportional to 315,705.30, 473,765.54 and 116,027.40 is: 174,117.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,705.30 : 473,765.54 = 116,027.40 : x
  2. Step 2: Convert to fraction form
    315,705.30/473,765.54 = 116,027.40/x
  3. Step 3: Cross multiply
    315,705.30x = 473,765.54 × 116,027.40
  4. Step 4: Simplify right side
    315,705.30x = 54,969,783,815.80
  5. Step 5: Solve for x
    x = 54,969,783,815.80/315,705.30
  6. Step 6: Final answer
    x = 174,117.39

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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.