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Finding the Fourth Proportional to 315,478.55, 472,463.43 and 181,954.00

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Solution

The fourth proportional to 315,478.55, 472,463.43 and 181,954.00 is: 272,495.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,478.55 : 472,463.43 = 181,954.00 : x
  2. Step 2: Convert to fraction form
    315,478.55/472,463.43 = 181,954.00/x
  3. Step 3: Cross multiply
    315,478.55x = 472,463.43 × 181,954.00
  4. Step 4: Simplify right side
    315,478.55x = 85,966,610,850.47
  5. Step 5: Solve for x
    x = 85,966,610,850.47/315,478.55
  6. Step 6: Final answer
    x = 272,495.90

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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.