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Finding the Fourth Proportional to 463,056.80, 694,815.60 and 263,530.40

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Solution

The fourth proportional to 463,056.80, 694,815.60 and 263,530.40 is: 395,426.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,056.80 : 694,815.60 = 263,530.40 : x
  2. Step 2: Convert to fraction form
    463,056.80/694,815.60 = 263,530.40/x
  3. Step 3: Cross multiply
    463,056.80x = 694,815.60 × 263,530.40
  4. Step 4: Simplify right side
    463,056.80x = 183,105,032,994.24
  5. Step 5: Solve for x
    x = 183,105,032,994.24/463,056.80
  6. Step 6: Final answer
    x = 395,426.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.