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Finding the Fourth Proportional to 406,810.12, 561,396.42 and 227,962.12

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Solution

The fourth proportional to 406,810.12, 561,396.42 and 227,962.12 is: 314,586.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,810.12 : 561,396.42 = 227,962.12 : x
  2. Step 2: Convert to fraction form
    406,810.12/561,396.42 = 227,962.12/x
  3. Step 3: Cross multiply
    406,810.12x = 561,396.42 × 227,962.12
  4. Step 4: Simplify right side
    406,810.12x = 127,977,118,063.61
  5. Step 5: Solve for x
    x = 127,977,118,063.61/406,810.12
  6. Step 6: Final answer
    x = 314,586.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.