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Finding the Fourth Proportional to 402,721.34, 555,764.42 and 221,421.74

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Solution

The fourth proportional to 402,721.34, 555,764.42 and 221,421.74 is: 305,566.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,721.34 : 555,764.42 = 221,421.74 : x
  2. Step 2: Convert to fraction form
    402,721.34/555,764.42 = 221,421.74/x
  3. Step 3: Cross multiply
    402,721.34x = 555,764.42 × 221,421.74
  4. Step 4: Simplify right side
    402,721.34x = 123,058,322,681.22
  5. Step 5: Solve for x
    x = 123,058,322,681.22/402,721.34
  6. Step 6: Final answer
    x = 305,566.93

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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.