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Finding the Fourth Proportional to 295,091.88, 407,258.33 and 180,437.72

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Solution

The fourth proportional to 295,091.88, 407,258.33 and 180,437.72 is: 249,023.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,091.88 : 407,258.33 = 180,437.72 : x
  2. Step 2: Convert to fraction form
    295,091.88/407,258.33 = 180,437.72/x
  3. Step 3: Cross multiply
    295,091.88x = 407,258.33 × 180,437.72
  4. Step 4: Simplify right side
    295,091.88x = 73,484,764,516.21
  5. Step 5: Solve for x
    x = 73,484,764,516.21/295,091.88
  6. Step 6: Final answer
    x = 249,023.34

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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.