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Finding the Fourth Proportional to 468,412.92, 646,411.38 and 253,552.88

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Solution

The fourth proportional to 468,412.92, 646,411.38 and 253,552.88 is: 349,903.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,412.92 : 646,411.38 = 253,552.88 : x
  2. Step 2: Convert to fraction form
    468,412.92/646,411.38 = 253,552.88/x
  3. Step 3: Cross multiply
    468,412.92x = 646,411.38 × 253,552.88
  4. Step 4: Simplify right side
    468,412.92x = 163,899,467,063.77
  5. Step 5: Solve for x
    x = 163,899,467,063.77/468,412.92
  6. Step 6: Final answer
    x = 349,903.81

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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.