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Finding the Fourth Proportional to 468,265.41, 646,207.89 and 253,405.42

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Solution

The fourth proportional to 468,265.41, 646,207.89 and 253,405.42 is: 349,700.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,265.41 : 646,207.89 = 253,405.42 : x
  2. Step 2: Convert to fraction form
    468,265.41/646,207.89 = 253,405.42/x
  3. Step 3: Cross multiply
    468,265.41x = 646,207.89 × 253,405.42
  4. Step 4: Simplify right side
    468,265.41x = 163,752,578,541.72
  5. Step 5: Solve for x
    x = 163,752,578,541.72/468,265.41
  6. Step 6: Final answer
    x = 349,700.35

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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.