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Finding the Fourth Proportional to 943,258, 1,413,997.56 and 469,495.48

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Solution

The fourth proportional to 943,258, 1,413,997.56 and 469,495.48 is: 703,800.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,258 : 1,413,997.56 = 469,495.48 : x
  2. Step 2: Convert to fraction form
    943,258/1,413,997.56 = 469,495.48/x
  3. Step 3: Cross multiply
    943,258x = 1,413,997.56 × 469,495.48
  4. Step 4: Simplify right side
    943,258x = 663,865,463,151.03
  5. Step 5: Solve for x
    x = 663,865,463,151.03/943,258
  6. Step 6: Final answer
    x = 703,800.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.