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Finding the Fourth Proportional to 294,814.51, 441,340.39 and 180,602.53

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Solution

The fourth proportional to 294,814.51, 441,340.39 and 180,602.53 is: 270,363.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,814.51 : 441,340.39 = 180,602.53 : x
  2. Step 2: Convert to fraction form
    294,814.51/441,340.39 = 180,602.53/x
  3. Step 3: Cross multiply
    294,814.51x = 441,340.39 × 180,602.53
  4. Step 4: Simplify right side
    294,814.51x = 79,707,191,025.19
  5. Step 5: Solve for x
    x = 79,707,191,025.19/294,814.51
  6. Step 6: Final answer
    x = 270,363.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.