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Finding the Fourth Proportional to 310,973.43, 466,076.07 and 161,127.48

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Solution

The fourth proportional to 310,973.43, 466,076.07 and 161,127.48 is: 241,492.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,973.43 : 466,076.07 = 161,127.48 : x
  2. Step 2: Convert to fraction form
    310,973.43/466,076.07 = 161,127.48/x
  3. Step 3: Cross multiply
    310,973.43x = 466,076.07 × 161,127.48
  4. Step 4: Simplify right side
    310,973.43x = 75,097,662,647.40
  5. Step 5: Solve for x
    x = 75,097,662,647.40/310,973.43
  6. Step 6: Final answer
    x = 241,492.22

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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.