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Finding the Fourth Proportional to 468,256.98, 646,194.63 and 253,397.06

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Solution

The fourth proportional to 468,256.98, 646,194.63 and 253,397.06 is: 349,687.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,256.98 : 646,194.63 = 253,397.06 : x
  2. Step 2: Convert to fraction form
    468,256.98/646,194.63 = 253,397.06/x
  3. Step 3: Cross multiply
    468,256.98x = 646,194.63 × 253,397.06
  4. Step 4: Simplify right side
    468,256.98x = 163,743,816,198.82
  5. Step 5: Solve for x
    x = 163,743,816,198.82/468,256.98
  6. Step 6: Final answer
    x = 349,687.93

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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.