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Finding the Fourth Proportional to 402,719.34, 555,738.47 and 221,430.00

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Solution

The fourth proportional to 402,719.34, 555,738.47 and 221,430.00 is: 305,565.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,719.34 : 555,738.47 = 221,430.00 : x
  2. Step 2: Convert to fraction form
    402,719.34/555,738.47 = 221,430.00/x
  3. Step 3: Cross multiply
    402,719.34x = 555,738.47 × 221,430.00
  4. Step 4: Simplify right side
    402,719.34x = 123,057,171,219.33
  5. Step 5: Solve for x
    x = 123,057,171,219.33/402,719.34
  6. Step 6: Final answer
    x = 305,565.58

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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.