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Finding the Fourth Proportional to 406,141.48, 609,605.88 and 195,927.04

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Solution

The fourth proportional to 406,141.48, 609,605.88 and 195,927.04 is: 294,080.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,141.48 : 609,605.88 = 195,927.04 : x
  2. Step 2: Convert to fraction form
    406,141.48/609,605.88 = 195,927.04/x
  3. Step 3: Cross multiply
    406,141.48x = 609,605.88 × 195,927.04
  4. Step 4: Simplify right side
    406,141.48x = 119,438,275,635.00
  5. Step 5: Solve for x
    x = 119,438,275,635.00/406,141.48
  6. Step 6: Final answer
    x = 294,080.47

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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.