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Finding the Fourth Proportional to 295,599.86, 407,798.23 and 180,884.01

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Solution

The fourth proportional to 295,599.86, 407,798.23 and 180,884.01 is: 249,540.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,599.86 : 407,798.23 = 180,884.01 : x
  2. Step 2: Convert to fraction form
    295,599.86/407,798.23 = 180,884.01/x
  3. Step 3: Cross multiply
    295,599.86x = 407,798.23 × 180,884.01
  4. Step 4: Simplify right side
    295,599.86x = 73,764,180,529.49
  5. Step 5: Solve for x
    x = 73,764,180,529.49/295,599.86
  6. Step 6: Final answer
    x = 249,540.65

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Why These Related Problems?

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