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Finding the Fourth Proportional to 517,414.05, 713,420.55 and 354,149.22

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Solution

The fourth proportional to 517,414.05, 713,420.55 and 354,149.22 is: 488,307.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,414.05 : 713,420.55 = 354,149.22 : x
  2. Step 2: Convert to fraction form
    517,414.05/713,420.55 = 354,149.22/x
  3. Step 3: Cross multiply
    517,414.05x = 713,420.55 × 354,149.22
  4. Step 4: Simplify right side
    517,414.05x = 252,657,331,314.47
  5. Step 5: Solve for x
    x = 252,657,331,314.47/517,414.05
  6. Step 6: Final answer
    x = 488,307.83

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1.5x scale

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.