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Finding the Fourth Proportional to 301,754.84, 416,428.89 and 165,787.52

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Solution

The fourth proportional to 301,754.84, 416,428.89 and 165,787.52 is: 228,790.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,754.84 : 416,428.89 = 165,787.52 : x
  2. Step 2: Convert to fraction form
    301,754.84/416,428.89 = 165,787.52/x
  3. Step 3: Cross multiply
    301,754.84x = 416,428.89 × 165,787.52
  4. Step 4: Simplify right side
    301,754.84x = 69,038,712,929.45
  5. Step 5: Solve for x
    x = 69,038,712,929.45/301,754.84
  6. Step 6: Final answer
    x = 228,790.74

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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.