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Finding the Fourth Proportional to 705,863.32, 974,071.73 and 383,562.70

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Solution

The fourth proportional to 705,863.32, 974,071.73 and 383,562.70 is: 529,305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,863.32 : 974,071.73 = 383,562.70 : x
  2. Step 2: Convert to fraction form
    705,863.32/974,071.73 = 383,562.70/x
  3. Step 3: Cross multiply
    705,863.32x = 974,071.73 × 383,562.70
  4. Step 4: Simplify right side
    705,863.32x = 373,617,581,276.20
  5. Step 5: Solve for x
    x = 373,617,581,276.20/705,863.32
  6. Step 6: Final answer
    x = 529,305.85

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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.