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Finding the Fourth Proportional to 295,629.52, 407,839.12 and 180,913.68

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Solution

The fourth proportional to 295,629.52, 407,839.12 and 180,913.68 is: 249,581.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,629.52 : 407,839.12 = 180,913.68 : x
  2. Step 2: Convert to fraction form
    295,629.52/407,839.12 = 180,913.68/x
  3. Step 3: Cross multiply
    295,629.52x = 407,839.12 × 180,913.68
  4. Step 4: Simplify right side
    295,629.52x = 73,783,676,047.16
  5. Step 5: Solve for x
    x = 73,783,676,047.16/295,629.52
  6. Step 6: Final answer
    x = 249,581.56

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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.