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Finding the Fourth Proportional to 576,205.44, 864,400.32 and 243,784.32

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Solution

The fourth proportional to 576,205.44, 864,400.32 and 243,784.32 is: 365,715.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,205.44 : 864,400.32 = 243,784.32 : x
  2. Step 2: Convert to fraction form
    576,205.44/864,400.32 = 243,784.32/x
  3. Step 3: Cross multiply
    576,205.44x = 864,400.32 × 243,784.32
  4. Step 4: Simplify right side
    576,205.44x = 210,727,244,218.98
  5. Step 5: Solve for x
    x = 210,727,244,218.98/576,205.44
  6. Step 6: Final answer
    x = 365,715.47

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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.