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Finding the Fourth Proportional to 307,277.40, 460,916.10 and 223,296.60

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Solution

The fourth proportional to 307,277.40, 460,916.10 and 223,296.60 is: 334,944.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,277.40 : 460,916.10 = 223,296.60 : x
  2. Step 2: Convert to fraction form
    307,277.40/460,916.10 = 223,296.60/x
  3. Step 3: Cross multiply
    307,277.40x = 460,916.10 × 223,296.60
  4. Step 4: Simplify right side
    307,277.40x = 102,920,998,015.26
  5. Step 5: Solve for x
    x = 102,920,998,015.26/307,277.40
  6. Step 6: Final answer
    x = 334,944.90

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1.5x scale

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.