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Finding the Fourth Proportional to 519,225.64, 716,564.82 and 292,866.28

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Solution

The fourth proportional to 519,225.64, 716,564.82 and 292,866.28 is: 404,174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,225.64 : 716,564.82 = 292,866.28 : x
  2. Step 2: Convert to fraction form
    519,225.64/716,564.82 = 292,866.28/x
  3. Step 3: Cross multiply
    519,225.64x = 716,564.82 × 292,866.28
  4. Step 4: Simplify right side
    519,225.64x = 209,857,673,212.27
  5. Step 5: Solve for x
    x = 209,857,673,212.27/519,225.64
  6. Step 6: Final answer
    x = 404,174.33

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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.