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Finding the Fourth Proportional to 411,358.80, 617,038.20 and 405,829.20

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Solution

The fourth proportional to 411,358.80, 617,038.20 and 405,829.20 is: 608,743.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,358.80 : 617,038.20 = 405,829.20 : x
  2. Step 2: Convert to fraction form
    411,358.80/617,038.20 = 405,829.20/x
  3. Step 3: Cross multiply
    411,358.80x = 617,038.20 × 405,829.20
  4. Step 4: Simplify right side
    411,358.80x = 250,412,119,075.44
  5. Step 5: Solve for x
    x = 250,412,119,075.44/411,358.80
  6. Step 6: Final answer
    x = 608,743.80

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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.