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Finding the Fourth Proportional to 468,197.98, 646,111.12 and 253,341.82

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Solution

The fourth proportional to 468,197.98, 646,111.12 and 253,341.82 is: 349,610.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,197.98 : 646,111.12 = 253,341.82 : x
  2. Step 2: Convert to fraction form
    468,197.98/646,111.12 = 253,341.82/x
  3. Step 3: Cross multiply
    468,197.98x = 646,111.12 × 253,341.82
  4. Step 4: Simplify right side
    468,197.98x = 163,686,967,063.04
  5. Step 5: Solve for x
    x = 163,686,967,063.04/468,197.98
  6. Step 6: Final answer
    x = 349,610.58

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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.