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Finding the Fourth Proportional to 468,266.98, 646,213.10 and 253,411.66

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Solution

The fourth proportional to 468,266.98, 646,213.10 and 253,411.66 is: 349,710.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,266.98 : 646,213.10 = 253,411.66 : x
  2. Step 2: Convert to fraction form
    468,266.98/646,213.10 = 253,411.66/x
  3. Step 3: Cross multiply
    468,266.98x = 646,213.10 × 253,411.66
  4. Step 4: Simplify right side
    468,266.98x = 163,757,931,003.23
  5. Step 5: Solve for x
    x = 163,757,931,003.23/468,266.98
  6. Step 6: Final answer
    x = 349,710.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.