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Finding the Fourth Proportional to 289,693.10, 434,539.65 and 205,712.30

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Solution

The fourth proportional to 289,693.10, 434,539.65 and 205,712.30 is: 308,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,693.10 : 434,539.65 = 205,712.30 : x
  2. Step 2: Convert to fraction form
    289,693.10/434,539.65 = 205,712.30/x
  3. Step 3: Cross multiply
    289,693.10x = 434,539.65 × 205,712.30
  4. Step 4: Simplify right side
    289,693.10x = 89,390,150,842.70
  5. Step 5: Solve for x
    x = 89,390,150,842.70/289,693.10
  6. Step 6: Final answer
    x = 308,568.45

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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.