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Finding the Fourth Proportional to 566,915.63, 782,067.96 and 362,802.92

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Solution

The fourth proportional to 566,915.63, 782,067.96 and 362,802.92 is: 500,491.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,915.63 : 782,067.96 = 362,802.92 : x
  2. Step 2: Convert to fraction form
    566,915.63/782,067.96 = 362,802.92/x
  3. Step 3: Cross multiply
    566,915.63x = 782,067.96 × 362,802.92
  4. Step 4: Simplify right side
    566,915.63x = 283,736,535,616.10
  5. Step 5: Solve for x
    x = 283,736,535,616.10/566,915.63
  6. Step 6: Final answer
    x = 500,491.65

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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.