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Finding the Fourth Proportional to 317,702.32, 476,413.50 and 149,270.56

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Solution

The fourth proportional to 317,702.32, 476,413.50 and 149,270.56 is: 223,840.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,702.32 : 476,413.50 = 149,270.56 : x
  2. Step 2: Convert to fraction form
    317,702.32/476,413.50 = 149,270.56/x
  3. Step 3: Cross multiply
    317,702.32x = 476,413.50 × 149,270.56
  4. Step 4: Simplify right side
    317,702.32x = 71,114,509,936.56
  5. Step 5: Solve for x
    x = 71,114,509,936.56/317,702.32
  6. Step 6: Final answer
    x = 223,840.07

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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.