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Finding the Fourth Proportional to 282,647.80, 423,971.70 and 164,452.60

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Solution

The fourth proportional to 282,647.80, 423,971.70 and 164,452.60 is: 246,678.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,647.80 : 423,971.70 = 164,452.60 : x
  2. Step 2: Convert to fraction form
    282,647.80/423,971.70 = 164,452.60/x
  3. Step 3: Cross multiply
    282,647.80x = 423,971.70 × 164,452.60
  4. Step 4: Simplify right side
    282,647.80x = 69,723,248,391.42
  5. Step 5: Solve for x
    x = 69,723,248,391.42/282,647.80
  6. Step 6: Final answer
    x = 246,678.90

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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.