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Finding the Fourth Proportional to 523,658, 722,648.04 and 285,194

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Solution

The fourth proportional to 523,658, 722,648.04 and 285,194 is: 393,567.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,658 : 722,648.04 = 285,194 : x
  2. Step 2: Convert to fraction form
    523,658/722,648.04 = 285,194/x
  3. Step 3: Cross multiply
    523,658x = 722,648.04 × 285,194
  4. Step 4: Simplify right side
    523,658x = 206,094,885,119.76
  5. Step 5: Solve for x
    x = 206,094,885,119.76/523,658
  6. Step 6: Final answer
    x = 393,567.72

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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.