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Finding the Fourth Proportional to 600,023.89, 828,241.47 and 345,476.53

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Solution

The fourth proportional to 600,023.89, 828,241.47 and 345,476.53 is: 476,877.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,023.89 : 828,241.47 = 345,476.53 : x
  2. Step 2: Convert to fraction form
    600,023.89/828,241.47 = 345,476.53/x
  3. Step 3: Cross multiply
    600,023.89x = 828,241.47 × 345,476.53
  4. Step 4: Simplify right side
    600,023.89x = 286,137,989,057.70
  5. Step 5: Solve for x
    x = 286,137,989,057.70/600,023.89
  6. Step 6: Final answer
    x = 476,877.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.