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Finding the Fourth Proportional to 565,963.16, 781,140.06 and 324,407.48

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Solution

The fourth proportional to 565,963.16, 781,140.06 and 324,407.48 is: 447,745.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,963.16 : 781,140.06 = 324,407.48 : x
  2. Step 2: Convert to fraction form
    565,963.16/781,140.06 = 324,407.48/x
  3. Step 3: Cross multiply
    565,963.16x = 781,140.06 × 324,407.48
  4. Step 4: Simplify right side
    565,963.16x = 253,407,674,485.95
  5. Step 5: Solve for x
    x = 253,407,674,485.95/565,963.16
  6. Step 6: Final answer
    x = 447,745.89

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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.