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Finding the Fourth Proportional to 560,709.44, 773,663.52 and 322,199.36

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Solution

The fourth proportional to 560,709.44, 773,663.52 and 322,199.36 is: 444,568.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,709.44 : 773,663.52 = 322,199.36 : x
  2. Step 2: Convert to fraction form
    560,709.44/773,663.52 = 322,199.36/x
  3. Step 3: Cross multiply
    560,709.44x = 773,663.52 × 322,199.36
  4. Step 4: Simplify right side
    560,709.44x = 249,273,890,999.35
  5. Step 5: Solve for x
    x = 249,273,890,999.35/560,709.44
  6. Step 6: Final answer
    x = 444,568.74

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Why These Related Problems?

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