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Finding the Fourth Proportional to 282,384.98, 389,712.12 and 174,975.95

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Solution

The fourth proportional to 282,384.98, 389,712.12 and 174,975.95 is: 241,479.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,384.98 : 389,712.12 = 174,975.95 : x
  2. Step 2: Convert to fraction form
    282,384.98/389,712.12 = 174,975.95/x
  3. Step 3: Cross multiply
    282,384.98x = 389,712.12 × 174,975.95
  4. Step 4: Simplify right side
    282,384.98x = 68,190,247,779.80
  5. Step 5: Solve for x
    x = 68,190,247,779.80/282,384.98
  6. Step 6: Final answer
    x = 241,479.72

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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.