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Finding the Fourth Proportional to 705,761.60, 973,934.16 and 383,464.40

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Solution

The fourth proportional to 705,761.60, 973,934.16 and 383,464.40 is: 529,171.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,761.60 : 973,934.16 = 383,464.40 : x
  2. Step 2: Convert to fraction form
    705,761.60/973,934.16 = 383,464.40/x
  3. Step 3: Cross multiply
    705,761.60x = 973,934.16 × 383,464.40
  4. Step 4: Simplify right side
    705,761.60x = 373,469,078,303.90
  5. Step 5: Solve for x
    x = 373,469,078,303.90/705,761.60
  6. Step 6: Final answer
    x = 529,171.72

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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.