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Finding the Fourth Proportional to 289,482.41, 434,224.62 and 204,987.02

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Solution

The fourth proportional to 289,482.41, 434,224.62 and 204,987.02 is: 307,481.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,482.41 : 434,224.62 = 204,987.02 : x
  2. Step 2: Convert to fraction form
    289,482.41/434,224.62 = 204,987.02/x
  3. Step 3: Cross multiply
    289,482.41x = 434,224.62 × 204,987.02
  4. Step 4: Simplify right side
    289,482.41x = 89,010,408,693.31
  5. Step 5: Solve for x
    x = 89,010,408,693.31/289,482.41
  6. Step 6: Final answer
    x = 307,481.23

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1.5x scale

Why These Related Problems?

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