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Finding the Fourth Proportional to 920,905, 1,381,435.74 and 256,057

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Solution

The fourth proportional to 920,905, 1,381,435.74 and 256,057 is: 384,107.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,905 : 1,381,435.74 = 256,057 : x
  2. Step 2: Convert to fraction form
    920,905/1,381,435.74 = 256,057/x
  3. Step 3: Cross multiply
    920,905x = 1,381,435.74 × 256,057
  4. Step 4: Simplify right side
    920,905x = 353,726,291,277.18
  5. Step 5: Solve for x
    x = 353,726,291,277.18/920,905
  6. Step 6: Final answer
    x = 384,107.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.