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Finding the Fourth Proportional to 519,466.68, 716,824.62 and 293,133.24

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Solution

The fourth proportional to 519,466.68, 716,824.62 and 293,133.24 is: 404,501.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,466.68 : 716,824.62 = 293,133.24 : x
  2. Step 2: Convert to fraction form
    519,466.68/716,824.62 = 293,133.24/x
  3. Step 3: Cross multiply
    519,466.68x = 716,824.62 × 293,133.24
  4. Step 4: Simplify right side
    519,466.68x = 210,125,123,372.37
  5. Step 5: Solve for x
    x = 210,125,123,372.37/519,466.68
  6. Step 6: Final answer
    x = 404,501.64

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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.