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Finding the Fourth Proportional to 406,497.78, 609,617.50 and 379,962.65

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Solution

The fourth proportional to 406,497.78, 609,617.50 and 379,962.65 is: 569,823.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,497.78 : 609,617.50 = 379,962.65 : x
  2. Step 2: Convert to fraction form
    406,497.78/609,617.50 = 379,962.65/x
  3. Step 3: Cross multiply
    406,497.78x = 609,617.50 × 379,962.65
  4. Step 4: Simplify right side
    406,497.78x = 231,631,880,786.38
  5. Step 5: Solve for x
    x = 231,631,880,786.38/406,497.78
  6. Step 6: Final answer
    x = 569,823.24

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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.