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Finding the Fourth Proportional to 406,622.40, 609,496.20 and 153,805.20

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Solution

The fourth proportional to 406,622.40, 609,496.20 and 153,805.20 is: 230,542.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,622.40 : 609,496.20 = 153,805.20 : x
  2. Step 2: Convert to fraction form
    406,622.40/609,496.20 = 153,805.20/x
  3. Step 3: Cross multiply
    406,622.40x = 609,496.20 × 153,805.20
  4. Step 4: Simplify right side
    406,622.40x = 93,743,684,940.24
  5. Step 5: Solve for x
    x = 93,743,684,940.24/406,622.40
  6. Step 6: Final answer
    x = 230,542.35

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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.