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Finding the Fourth Proportional to 289,809.40, 434,714.10 and 205,828.60

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Solution

The fourth proportional to 289,809.40, 434,714.10 and 205,828.60 is: 308,742.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,809.40 : 434,714.10 = 205,828.60 : x
  2. Step 2: Convert to fraction form
    289,809.40/434,714.10 = 205,828.60/x
  3. Step 3: Cross multiply
    289,809.40x = 434,714.10 × 205,828.60
  4. Step 4: Simplify right side
    289,809.40x = 89,476,594,603.26
  5. Step 5: Solve for x
    x = 89,476,594,603.26/289,809.40
  6. Step 6: Final answer
    x = 308,742.90

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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.