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Finding the Fourth Proportional to 498,051.60, 747,174.60 and 213,741.60

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Solution

The fourth proportional to 498,051.60, 747,174.60 and 213,741.60 is: 320,654.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,051.60 : 747,174.60 = 213,741.60 : x
  2. Step 2: Convert to fraction form
    498,051.60/747,174.60 = 213,741.60/x
  3. Step 3: Cross multiply
    498,051.60x = 747,174.60 × 213,741.60
  4. Step 4: Simplify right side
    498,051.60x = 159,702,294,483.36
  5. Step 5: Solve for x
    x = 159,702,294,483.36/498,051.60
  6. Step 6: Final answer
    x = 320,654.11

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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.