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Finding the Fourth Proportional to 292,569, 403,745.22 and 158,433

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Solution

The fourth proportional to 292,569, 403,745.22 and 158,433 is: 218,637.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,569 : 403,745.22 = 158,433 : x
  2. Step 2: Convert to fraction form
    292,569/403,745.22 = 158,433/x
  3. Step 3: Cross multiply
    292,569x = 403,745.22 × 158,433
  4. Step 4: Simplify right side
    292,569x = 63,966,566,440.26
  5. Step 5: Solve for x
    x = 63,966,566,440.26/292,569
  6. Step 6: Final answer
    x = 218,637.54

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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.