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Finding the Fourth Proportional to 411,455.20, 617,029.20 and 286,424.80

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Solution

The fourth proportional to 411,455.20, 617,029.20 and 286,424.80 is: 429,530.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,455.20 : 617,029.20 = 286,424.80 : x
  2. Step 2: Convert to fraction form
    411,455.20/617,029.20 = 286,424.80/x
  3. Step 3: Cross multiply
    411,455.20x = 617,029.20 × 286,424.80
  4. Step 4: Simplify right side
    411,455.20x = 176,732,465,204.16
  5. Step 5: Solve for x
    x = 176,732,465,204.16/411,455.20
  6. Step 6: Final answer
    x = 429,530.27

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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.