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Finding the Fourth Proportional to 282,807.96, 424,201.15 and 69,576.57

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Solution

The fourth proportional to 282,807.96, 424,201.15 and 69,576.57 is: 104,362.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,807.96 : 424,201.15 = 69,576.57 : x
  2. Step 2: Convert to fraction form
    282,807.96/424,201.15 = 69,576.57/x
  3. Step 3: Cross multiply
    282,807.96x = 424,201.15 × 69,576.57
  4. Step 4: Simplify right side
    282,807.96x = 29,514,461,094.03
  5. Step 5: Solve for x
    x = 29,514,461,094.03/282,807.96
  6. Step 6: Final answer
    x = 104,362.20

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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.