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Finding the Fourth Proportional to 705,977.64, 974,390.85 and 419,442.57

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Solution

The fourth proportional to 705,977.64, 974,390.85 and 419,442.57 is: 578,914.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,977.64 : 974,390.85 = 419,442.57 : x
  2. Step 2: Convert to fraction form
    705,977.64/974,390.85 = 419,442.57/x
  3. Step 3: Cross multiply
    705,977.64x = 974,390.85 × 419,442.57
  4. Step 4: Simplify right side
    705,977.64x = 408,701,002,308.49
  5. Step 5: Solve for x
    x = 408,701,002,308.49/705,977.64
  6. Step 6: Final answer
    x = 578,914.94

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