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Finding the Fourth Proportional to 525,827.78, 725,642.37 and 299,494.34

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Solution

The fourth proportional to 525,827.78, 725,642.37 and 299,494.34 is: 413,302.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,827.78 : 725,642.37 = 299,494.34 : x
  2. Step 2: Convert to fraction form
    525,827.78/725,642.37 = 299,494.34/x
  3. Step 3: Cross multiply
    525,827.78x = 725,642.37 × 299,494.34
  4. Step 4: Simplify right side
    525,827.78x = 217,325,782,679.19
  5. Step 5: Solve for x
    x = 217,325,782,679.19/525,827.78
  6. Step 6: Final answer
    x = 413,302.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.