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Finding the Fourth Proportional to 289,034.40, 433,551.60 and 164,618.40

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Solution

The fourth proportional to 289,034.40, 433,551.60 and 164,618.40 is: 246,927.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,034.40 : 433,551.60 = 164,618.40 : x
  2. Step 2: Convert to fraction form
    289,034.40/433,551.60 = 164,618.40/x
  3. Step 3: Cross multiply
    289,034.40x = 433,551.60 × 164,618.40
  4. Step 4: Simplify right side
    289,034.40x = 71,370,570,709.44
  5. Step 5: Solve for x
    x = 71,370,570,709.44/289,034.40
  6. Step 6: Final answer
    x = 246,927.60

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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.