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Finding the Fourth Proportional to 406,496.16, 609,775.82 and 122,164.52

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Solution

The fourth proportional to 406,496.16, 609,775.82 and 122,164.52 is: 183,256.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,496.16 : 609,775.82 = 122,164.52 : x
  2. Step 2: Convert to fraction form
    406,496.16/609,775.82 = 122,164.52/x
  3. Step 3: Cross multiply
    406,496.16x = 609,775.82 × 122,164.52
  4. Step 4: Simplify right side
    406,496.16x = 74,492,970,357.91
  5. Step 5: Solve for x
    x = 74,492,970,357.91/406,496.16
  6. Step 6: Final answer
    x = 183,256.27

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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.