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Finding the Fourth Proportional to 501,301.92, 691,709.94 and 283,411.02

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Solution

The fourth proportional to 501,301.92, 691,709.94 and 283,411.02 is: 391,058.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,301.92 : 691,709.94 = 283,411.02 : x
  2. Step 2: Convert to fraction form
    501,301.92/691,709.94 = 283,411.02/x
  3. Step 3: Cross multiply
    501,301.92x = 691,709.94 × 283,411.02
  4. Step 4: Simplify right side
    501,301.92x = 196,038,219,639.54
  5. Step 5: Solve for x
    x = 196,038,219,639.54/501,301.92
  6. Step 6: Final answer
    x = 391,058.19

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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.