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Finding the Fourth Proportional to 301,834.23, 416,440.40 and 180,931.40

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Solution

The fourth proportional to 301,834.23, 416,440.40 and 180,931.40 is: 249,630.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,834.23 : 416,440.40 = 180,931.40 : x
  2. Step 2: Convert to fraction form
    301,834.23/416,440.40 = 180,931.40/x
  3. Step 3: Cross multiply
    301,834.23x = 416,440.40 × 180,931.40
  4. Step 4: Simplify right side
    301,834.23x = 75,347,144,588.56
  5. Step 5: Solve for x
    x = 75,347,144,588.56/301,834.23
  6. Step 6: Final answer
    x = 249,630.88

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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.