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Finding the Fourth Proportional to 560,960.31, 841,746.63 and 324,764.31

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Solution

The fourth proportional to 560,960.31, 841,746.63 and 324,764.31 is: 487,323.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,960.31 : 841,746.63 = 324,764.31 : x
  2. Step 2: Convert to fraction form
    560,960.31/841,746.63 = 324,764.31/x
  3. Step 3: Cross multiply
    560,960.31x = 841,746.63 × 324,764.31
  4. Step 4: Simplify right side
    560,960.31x = 273,369,263,486.78
  5. Step 5: Solve for x
    x = 273,369,263,486.78/560,960.31
  6. Step 6: Final answer
    x = 487,323.72

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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.