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Finding the Fourth Proportional to 384,513.40, 576,813.30 and 118,271.80

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Solution

The fourth proportional to 384,513.40, 576,813.30 and 118,271.80 is: 177,420.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,513.40 : 576,813.30 = 118,271.80 : x
  2. Step 2: Convert to fraction form
    384,513.40/576,813.30 = 118,271.80/x
  3. Step 3: Cross multiply
    384,513.40x = 576,813.30 × 118,271.80
  4. Step 4: Simplify right side
    384,513.40x = 68,220,747,254.94
  5. Step 5: Solve for x
    x = 68,220,747,254.94/384,513.40
  6. Step 6: Final answer
    x = 177,420.99

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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.