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Finding the Fourth Proportional to 354,678.56, 489,389.36 and 211,451.84

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Solution

The fourth proportional to 354,678.56, 489,389.36 and 211,451.84 is: 291,763.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,678.56 : 489,389.36 = 211,451.84 : x
  2. Step 2: Convert to fraction form
    354,678.56/489,389.36 = 211,451.84/x
  3. Step 3: Cross multiply
    354,678.56x = 489,389.36 × 211,451.84
  4. Step 4: Simplify right side
    354,678.56x = 103,482,280,648.42
  5. Step 5: Solve for x
    x = 103,482,280,648.42/354,678.56
  6. Step 6: Final answer
    x = 291,763.56

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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.