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Finding the Fourth Proportional to 315,612.72, 473,255.88 and 115,881.84

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Solution

The fourth proportional to 315,612.72, 473,255.88 and 115,881.84 is: 173,762.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,612.72 : 473,255.88 = 115,881.84 : x
  2. Step 2: Convert to fraction form
    315,612.72/473,255.88 = 115,881.84/x
  3. Step 3: Cross multiply
    315,612.72x = 473,255.88 × 115,881.84
  4. Step 4: Simplify right side
    315,612.72x = 54,841,762,165.22
  5. Step 5: Solve for x
    x = 54,841,762,165.22/315,612.72
  6. Step 6: Final answer
    x = 173,762.84

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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.