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Finding the Fourth Proportional to 407,712.10, 611,568.15 and 347,350.90

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Solution

The fourth proportional to 407,712.10, 611,568.15 and 347,350.90 is: 521,026.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,712.10 : 611,568.15 = 347,350.90 : x
  2. Step 2: Convert to fraction form
    407,712.10/611,568.15 = 347,350.90/x
  3. Step 3: Cross multiply
    407,712.10x = 611,568.15 × 347,350.90
  4. Step 4: Simplify right side
    407,712.10x = 212,428,747,313.84
  5. Step 5: Solve for x
    x = 212,428,747,313.84/407,712.10
  6. Step 6: Final answer
    x = 521,026.35

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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.