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Finding the Fourth Proportional to 468,462.70, 646,478.38 and 253,602.61

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Solution

The fourth proportional to 468,462.70, 646,478.38 and 253,602.61 is: 349,971.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,462.70 : 646,478.38 = 253,602.61 : x
  2. Step 2: Convert to fraction form
    468,462.70/646,478.38 = 253,602.61/x
  3. Step 3: Cross multiply
    468,462.70x = 646,478.38 × 253,602.61
  4. Step 4: Simplify right side
    468,462.70x = 163,948,602,226.37
  5. Step 5: Solve for x
    x = 163,948,602,226.37/468,462.70
  6. Step 6: Final answer
    x = 349,971.52

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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.