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Finding the Fourth Proportional to 523,576.98, 722,457.51 and 294,090.31

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Solution

The fourth proportional to 523,576.98, 722,457.51 and 294,090.31 is: 405,800.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,576.98 : 722,457.51 = 294,090.31 : x
  2. Step 2: Convert to fraction form
    523,576.98/722,457.51 = 294,090.31/x
  3. Step 3: Cross multiply
    523,576.98x = 722,457.51 × 294,090.31
  4. Step 4: Simplify right side
    523,576.98x = 212,467,753,077.73
  5. Step 5: Solve for x
    x = 212,467,753,077.73/523,576.98
  6. Step 6: Final answer
    x = 405,800.41

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1.5x scale

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.