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Finding the Fourth Proportional to 282,674.54, 424,005.14 and 69,442.11

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Solution

The fourth proportional to 282,674.54, 424,005.14 and 69,442.11 is: 104,161.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,674.54 : 424,005.14 = 69,442.11 : x
  2. Step 2: Convert to fraction form
    282,674.54/424,005.14 = 69,442.11/x
  3. Step 3: Cross multiply
    282,674.54x = 424,005.14 × 69,442.11
  4. Step 4: Simplify right side
    282,674.54x = 29,443,811,572.45
  5. Step 5: Solve for x
    x = 29,443,811,572.45/282,674.54
  6. Step 6: Final answer
    x = 104,161.53

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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.