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Finding the Fourth Proportional to 333,410.56, 460,103 and 180,445.56

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Solution

The fourth proportional to 333,410.56, 460,103 and 180,445.56 is: 249,012.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,410.56 : 460,103 = 180,445.56 : x
  2. Step 2: Convert to fraction form
    333,410.56/460,103 = 180,445.56/x
  3. Step 3: Cross multiply
    333,410.56x = 460,103 × 180,445.56
  4. Step 4: Simplify right side
    333,410.56x = 83,023,543,492.68
  5. Step 5: Solve for x
    x = 83,023,543,492.68/333,410.56
  6. Step 6: Final answer
    x = 249,012.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.