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Finding the Fourth Proportional to 233,075.32, 322,862.12 and 228,351.40

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Solution

The fourth proportional to 233,075.32, 322,862.12 and 228,351.40 is: 316,318.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,075.32 : 322,862.12 = 228,351.40 : x
  2. Step 2: Convert to fraction form
    233,075.32/322,862.12 = 228,351.40/x
  3. Step 3: Cross multiply
    233,075.32x = 322,862.12 × 228,351.40
  4. Step 4: Simplify right side
    233,075.32x = 73,726,017,108.97
  5. Step 5: Solve for x
    x = 73,726,017,108.97/233,075.32
  6. Step 6: Final answer
    x = 316,318.42

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.