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Finding the Fourth Proportional to 468,346.70, 646,320.21 and 253,486.82

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Solution

The fourth proportional to 468,346.70, 646,320.21 and 253,486.82 is: 349,812.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,346.70 : 646,320.21 = 253,486.82 : x
  2. Step 2: Convert to fraction form
    468,346.70/646,320.21 = 253,486.82/x
  3. Step 3: Cross multiply
    468,346.70x = 646,320.21 × 253,486.82
  4. Step 4: Simplify right side
    468,346.70x = 163,833,654,734.63
  5. Step 5: Solve for x
    x = 163,833,654,734.63/468,346.70
  6. Step 6: Final answer
    x = 349,812.77

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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.