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Finding the Fourth Proportional to 468,458.19, 646,466.94 and 253,593.54

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Solution

The fourth proportional to 468,458.19, 646,466.94 and 253,593.54 is: 349,956.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,458.19 : 646,466.94 = 253,593.54 : x
  2. Step 2: Convert to fraction form
    468,458.19/646,466.94 = 253,593.54/x
  3. Step 3: Cross multiply
    468,458.19x = 646,466.94 × 253,593.54
  4. Step 4: Simplify right side
    468,458.19x = 163,939,839,807.57
  5. Step 5: Solve for x
    x = 163,939,839,807.57/468,458.19
  6. Step 6: Final answer
    x = 349,956.18

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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.