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Finding the Fourth Proportional to 402,720.14, 555,739.56 and 221,430.80

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Solution

The fourth proportional to 402,720.14, 555,739.56 and 221,430.80 is: 305,566.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,720.14 : 555,739.56 = 221,430.80 : x
  2. Step 2: Convert to fraction form
    402,720.14/555,739.56 = 221,430.80/x
  3. Step 3: Cross multiply
    402,720.14x = 555,739.56 × 221,430.80
  4. Step 4: Simplify right side
    402,720.14x = 123,057,855,362.45
  5. Step 5: Solve for x
    x = 123,057,855,362.45/402,720.14
  6. Step 6: Final answer
    x = 305,566.68

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