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Finding the Fourth Proportional to 314,972.93, 472,656.23 and 127,984.43

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Solution

The fourth proportional to 314,972.93, 472,656.23 and 127,984.43 is: 192,056.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,972.93 : 472,656.23 = 127,984.43 : x
  2. Step 2: Convert to fraction form
    314,972.93/472,656.23 = 127,984.43/x
  3. Step 3: Cross multiply
    314,972.93x = 472,656.23 × 127,984.43
  4. Step 4: Simplify right side
    314,972.93x = 60,492,638,182.50
  5. Step 5: Solve for x
    x = 60,492,638,182.50/314,972.93
  6. Step 6: Final answer
    x = 192,056.63

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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.