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Finding the Fourth Proportional to 523,772.64, 722,752.38 and 294,293.46

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Solution

The fourth proportional to 523,772.64, 722,752.38 and 294,293.46 is: 406,094.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,772.64 : 722,752.38 = 294,293.46 : x
  2. Step 2: Convert to fraction form
    523,772.64/722,752.38 = 294,293.46/x
  3. Step 3: Cross multiply
    523,772.64x = 722,752.38 × 294,293.46
  4. Step 4: Simplify right side
    523,772.64x = 212,701,298,633.44
  5. Step 5: Solve for x
    x = 212,701,298,633.44/523,772.64
  6. Step 6: Final answer
    x = 406,094.71

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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.