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Finding the Fourth Proportional to 315,647.20, 473,659.44 and 115,987.77

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Solution

The fourth proportional to 315,647.20, 473,659.44 and 115,987.77 is: 174,050.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,647.20 : 473,659.44 = 115,987.77 : x
  2. Step 2: Convert to fraction form
    315,647.20/473,659.44 = 115,987.77/x
  3. Step 3: Cross multiply
    315,647.20x = 473,659.44 × 115,987.77
  4. Step 4: Simplify right side
    315,647.20x = 54,938,702,185.05
  5. Step 5: Solve for x
    x = 54,938,702,185.05/315,647.20
  6. Step 6: Final answer
    x = 174,050.98

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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.