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Finding the Fourth Proportional to 242,969.36, 364,462.58 and 65,480.61

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Solution

The fourth proportional to 242,969.36, 364,462.58 and 65,480.61 is: 98,223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,969.36 : 364,462.58 = 65,480.61 : x
  2. Step 2: Convert to fraction form
    242,969.36/364,462.58 = 65,480.61/x
  3. Step 3: Cross multiply
    242,969.36x = 364,462.58 × 65,480.61
  4. Step 4: Simplify right side
    242,969.36x = 23,865,232,060.57
  5. Step 5: Solve for x
    x = 23,865,232,060.57/242,969.36
  6. Step 6: Final answer
    x = 98,223.22

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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.