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Finding the Fourth Proportional to 685,641.60, 946,175.04 and 383,846.40

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Solution

The fourth proportional to 685,641.60, 946,175.04 and 383,846.40 is: 529,702.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,641.60 : 946,175.04 = 383,846.40 : x
  2. Step 2: Convert to fraction form
    685,641.60/946,175.04 = 383,846.40/x
  3. Step 3: Cross multiply
    685,641.60x = 946,175.04 × 383,846.40
  4. Step 4: Simplify right side
    685,641.60x = 363,185,882,873.86
  5. Step 5: Solve for x
    x = 363,185,882,873.86/685,641.60
  6. Step 6: Final answer
    x = 529,702.23

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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.