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Finding the Fourth Proportional to 519,145.18, 716,419.14 and 289,688.38

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Solution

The fourth proportional to 519,145.18, 716,419.14 and 289,688.38 is: 399,769.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,145.18 : 716,419.14 = 289,688.38 : x
  2. Step 2: Convert to fraction form
    519,145.18/716,419.14 = 289,688.38/x
  3. Step 3: Cross multiply
    519,145.18x = 716,419.14 × 289,688.38
  4. Step 4: Simplify right side
    519,145.18x = 207,538,300,067.59
  5. Step 5: Solve for x
    x = 207,538,300,067.59/519,145.18
  6. Step 6: Final answer
    x = 399,769.29

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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.