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Finding the Fourth Proportional to 705,694.64, 973,853.36 and 383,407.40

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Solution

The fourth proportional to 705,694.64, 973,853.36 and 383,407.40 is: 529,099.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,694.64 : 973,853.36 = 383,407.40 : x
  2. Step 2: Convert to fraction form
    705,694.64/973,853.36 = 383,407.40/x
  3. Step 3: Cross multiply
    705,694.64x = 973,853.36 × 383,407.40
  4. Step 4: Simplify right side
    705,694.64x = 373,382,584,738.86
  5. Step 5: Solve for x
    x = 373,382,584,738.86/705,694.64
  6. Step 6: Final answer
    x = 529,099.36

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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.