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Finding the Fourth Proportional to 521,694.81, 719,938.29 and 292,253.71

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Solution

The fourth proportional to 521,694.81, 719,938.29 and 292,253.71 is: 403,309.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,694.81 : 719,938.29 = 292,253.71 : x
  2. Step 2: Convert to fraction form
    521,694.81/719,938.29 = 292,253.71/x
  3. Step 3: Cross multiply
    521,694.81x = 719,938.29 × 292,253.71
  4. Step 4: Simplify right side
    521,694.81x = 210,404,631,162.60
  5. Step 5: Solve for x
    x = 210,404,631,162.60/521,694.81
  6. Step 6: Final answer
    x = 403,309.81

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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.