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Finding the Fourth Proportional to 576,772.95, 794,822.32 and 415,323.15

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Solution

The fourth proportional to 576,772.95, 794,822.32 and 415,323.15 is: 572,336.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,772.95 : 794,822.32 = 415,323.15 : x
  2. Step 2: Convert to fraction form
    576,772.95/794,822.32 = 415,323.15/x
  3. Step 3: Cross multiply
    576,772.95x = 794,822.32 × 415,323.15
  4. Step 4: Simplify right side
    576,772.95x = 330,108,107,171.28
  5. Step 5: Solve for x
    x = 330,108,107,171.28/576,772.95
  6. Step 6: Final answer
    x = 572,336.32

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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.