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Finding the Fourth Proportional to 328,071.60, 492,107.40 and 106,455.60

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Solution

The fourth proportional to 328,071.60, 492,107.40 and 106,455.60 is: 159,683.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,071.60 : 492,107.40 = 106,455.60 : x
  2. Step 2: Convert to fraction form
    328,071.60/492,107.40 = 106,455.60/x
  3. Step 3: Cross multiply
    328,071.60x = 492,107.40 × 106,455.60
  4. Step 4: Simplify right side
    328,071.60x = 52,387,588,531.44
  5. Step 5: Solve for x
    x = 52,387,588,531.44/328,071.60
  6. Step 6: Final answer
    x = 159,683.40

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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.