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Finding the Fourth Proportional to 468,411.84, 646,408.46 and 253,551.24

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Solution

The fourth proportional to 468,411.84, 646,408.46 and 253,551.24 is: 349,900.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,411.84 : 646,408.46 = 253,551.24 : x
  2. Step 2: Convert to fraction form
    468,411.84/646,408.46 = 253,551.24/x
  3. Step 3: Cross multiply
    468,411.84x = 646,408.46 × 253,551.24
  4. Step 4: Simplify right side
    468,411.84x = 163,897,666,579.49
  5. Step 5: Solve for x
    x = 163,897,666,579.49/468,411.84
  6. Step 6: Final answer
    x = 349,900.78

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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.