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Finding the Fourth Proportional to 309,709.60, 464,564.40 and 169,741.60

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Solution

The fourth proportional to 309,709.60, 464,564.40 and 169,741.60 is: 254,612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,709.60 : 464,564.40 = 169,741.60 : x
  2. Step 2: Convert to fraction form
    309,709.60/464,564.40 = 169,741.60/x
  3. Step 3: Cross multiply
    309,709.60x = 464,564.40 × 169,741.60
  4. Step 4: Simplify right side
    309,709.60x = 78,855,904,559.04
  5. Step 5: Solve for x
    x = 78,855,904,559.04/309,709.60
  6. Step 6: Final answer
    x = 254,612.40

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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.