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Finding the Fourth Proportional to 447,760.40, 617,827.26 and 264,056.60

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Solution

The fourth proportional to 447,760.40, 617,827.26 and 264,056.60 is: 364,349.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,760.40 : 617,827.26 = 264,056.60 : x
  2. Step 2: Convert to fraction form
    447,760.40/617,827.26 = 264,056.60/x
  3. Step 3: Cross multiply
    447,760.40x = 617,827.26 × 264,056.60
  4. Step 4: Simplify right side
    447,760.40x = 163,141,365,346.07
  5. Step 5: Solve for x
    x = 163,141,365,346.07/447,760.40
  6. Step 6: Final answer
    x = 364,349.69

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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.