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Finding the Fourth Proportional to 519,190.48, 716,478.64 and 301,419.36

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Solution

The fourth proportional to 519,190.48, 716,478.64 and 301,419.36 is: 415,956.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,190.48 : 716,478.64 = 301,419.36 : x
  2. Step 2: Convert to fraction form
    519,190.48/716,478.64 = 301,419.36/x
  3. Step 3: Cross multiply
    519,190.48x = 716,478.64 × 301,419.36
  4. Step 4: Simplify right side
    519,190.48x = 215,960,533,122.47
  5. Step 5: Solve for x
    x = 215,960,533,122.47/519,190.48
  6. Step 6: Final answer
    x = 415,956.27

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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.