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Finding the Fourth Proportional to 274,409.40, 378,702.54 and 153,564.60

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Solution

The fourth proportional to 274,409.40, 378,702.54 and 153,564.60 is: 211,928.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,409.40 : 378,702.54 = 153,564.60 : x
  2. Step 2: Convert to fraction form
    274,409.40/378,702.54 = 153,564.60/x
  3. Step 3: Cross multiply
    274,409.40x = 378,702.54 × 153,564.60
  4. Step 4: Simplify right side
    274,409.40x = 58,155,304,074.08
  5. Step 5: Solve for x
    x = 58,155,304,074.08/274,409.40
  6. Step 6: Final answer
    x = 211,928.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.