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Finding the Fourth Proportional to 334,057.70, 501,086.55 and 314,812.10

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Solution

The fourth proportional to 334,057.70, 501,086.55 and 314,812.10 is: 472,218.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,057.70 : 501,086.55 = 314,812.10 : x
  2. Step 2: Convert to fraction form
    334,057.70/501,086.55 = 314,812.10/x
  3. Step 3: Cross multiply
    334,057.70x = 501,086.55 × 314,812.10
  4. Step 4: Simplify right side
    334,057.70x = 157,748,109,087.26
  5. Step 5: Solve for x
    x = 157,748,109,087.26/334,057.70
  6. Step 6: Final answer
    x = 472,218.15

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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.