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Finding the Fourth Proportional to 406,053.30, 608,737.48 and 255,962.84

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Solution

The fourth proportional to 406,053.30, 608,737.48 and 255,962.84 is: 383,728.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,053.30 : 608,737.48 = 255,962.84 : x
  2. Step 2: Convert to fraction form
    406,053.30/608,737.48 = 255,962.84/x
  3. Step 3: Cross multiply
    406,053.30x = 608,737.48 × 255,962.84
  4. Step 4: Simplify right side
    406,053.30x = 155,814,170,511.65
  5. Step 5: Solve for x
    x = 155,814,170,511.65/406,053.30
  6. Step 6: Final answer
    x = 383,728.37

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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.