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Finding the Fourth Proportional to 413,954.28, 623,697.60 and 374,019.66

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Solution

The fourth proportional to 413,954.28, 623,697.60 and 374,019.66 is: 563,528.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,954.28 : 623,697.60 = 374,019.66 : x
  2. Step 2: Convert to fraction form
    413,954.28/623,697.60 = 374,019.66/x
  3. Step 3: Cross multiply
    413,954.28x = 623,697.60 × 374,019.66
  4. Step 4: Simplify right side
    413,954.28x = 233,275,164,294.82
  5. Step 5: Solve for x
    x = 233,275,164,294.82/413,954.28
  6. Step 6: Final answer
    x = 563,528.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.