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Finding the Fourth Proportional to 302,431.60, 453,647.40 and 102,977.20

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Solution

The fourth proportional to 302,431.60, 453,647.40 and 102,977.20 is: 154,465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,431.60 : 453,647.40 = 102,977.20 : x
  2. Step 2: Convert to fraction form
    302,431.60/453,647.40 = 102,977.20/x
  3. Step 3: Cross multiply
    302,431.60x = 453,647.40 × 102,977.20
  4. Step 4: Simplify right side
    302,431.60x = 46,715,339,039.28
  5. Step 5: Solve for x
    x = 46,715,339,039.28/302,431.60
  6. Step 6: Final answer
    x = 154,465.80

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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.