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Finding the Fourth Proportional to 333,697.57, 460,503.21 and 180,736.09

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Solution

The fourth proportional to 333,697.57, 460,503.21 and 180,736.09 is: 249,416.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,697.57 : 460,503.21 = 180,736.09 : x
  2. Step 2: Convert to fraction form
    333,697.57/460,503.21 = 180,736.09/x
  3. Step 3: Cross multiply
    333,697.57x = 460,503.21 × 180,736.09
  4. Step 4: Simplify right side
    333,697.57x = 83,229,549,607.85
  5. Step 5: Solve for x
    x = 83,229,549,607.85/333,697.57
  6. Step 6: Final answer
    x = 249,416.11

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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.