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Finding the Fourth Proportional to 294,038.48, 440,649.12 and 153,516.80

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Solution

The fourth proportional to 294,038.48, 440,649.12 and 153,516.80 is: 230,061.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,038.48 : 440,649.12 = 153,516.80 : x
  2. Step 2: Convert to fraction form
    294,038.48/440,649.12 = 153,516.80/x
  3. Step 3: Cross multiply
    294,038.48x = 440,649.12 × 153,516.80
  4. Step 4: Simplify right side
    294,038.48x = 67,647,042,825.22
  5. Step 5: Solve for x
    x = 67,647,042,825.22/294,038.48
  6. Step 6: Final answer
    x = 230,061.87

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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.