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Finding the Fourth Proportional to 455,895.20, 684,404.40 and 287,415.20

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Solution

The fourth proportional to 455,895.20, 684,404.40 and 287,415.20 is: 431,476.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,895.20 : 684,404.40 = 287,415.20 : x
  2. Step 2: Convert to fraction form
    455,895.20/684,404.40 = 287,415.20/x
  3. Step 3: Cross multiply
    455,895.20x = 684,404.40 × 287,415.20
  4. Step 4: Simplify right side
    455,895.20x = 196,708,227,506.88
  5. Step 5: Solve for x
    x = 196,708,227,506.88/455,895.20
  6. Step 6: Final answer
    x = 431,476.86

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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.