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Finding the Fourth Proportional to 468,233.24, 646,163.57 and 253,373.30

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Solution

The fourth proportional to 468,233.24, 646,163.57 and 253,373.30 is: 349,656.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,233.24 : 646,163.57 = 253,373.30 : x
  2. Step 2: Convert to fraction form
    468,233.24/646,163.57 = 253,373.30/x
  3. Step 3: Cross multiply
    468,233.24x = 646,163.57 × 253,373.30
  4. Step 4: Simplify right side
    468,233.24x = 163,720,596,070.68
  5. Step 5: Solve for x
    x = 163,720,596,070.68/468,233.24
  6. Step 6: Final answer
    x = 349,656.07

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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.