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Finding the Fourth Proportional to 468,270.95, 646,213.87 and 253,411.03

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Solution

The fourth proportional to 468,270.95, 646,213.87 and 253,411.03 is: 349,707.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,270.95 : 646,213.87 = 253,411.03 : x
  2. Step 2: Convert to fraction form
    468,270.95/646,213.87 = 253,411.03/x
  3. Step 3: Cross multiply
    468,270.95x = 646,213.87 × 253,411.03
  4. Step 4: Simplify right side
    468,270.95x = 163,757,721,098.22
  5. Step 5: Solve for x
    x = 163,757,721,098.22/468,270.95
  6. Step 6: Final answer
    x = 349,707.19

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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.