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Finding the Fourth Proportional to 282,804.24, 424,513.74 and 114,440.48

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Solution

The fourth proportional to 282,804.24, 424,513.74 and 114,440.48 is: 171,785.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,804.24 : 424,513.74 = 114,440.48 : x
  2. Step 2: Convert to fraction form
    282,804.24/424,513.74 = 114,440.48/x
  3. Step 3: Cross multiply
    282,804.24x = 424,513.74 × 114,440.48
  4. Step 4: Simplify right side
    282,804.24x = 48,581,556,172.20
  5. Step 5: Solve for x
    x = 48,581,556,172.20/282,804.24
  6. Step 6: Final answer
    x = 171,785.11

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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.