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Finding the Fourth Proportional to 294,219.60, 441,208.44 and 116,702.16

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Solution

The fourth proportional to 294,219.60, 441,208.44 and 116,702.16 is: 175,005.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,219.60 : 441,208.44 = 116,702.16 : x
  2. Step 2: Convert to fraction form
    294,219.60/441,208.44 = 116,702.16/x
  3. Step 3: Cross multiply
    294,219.60x = 441,208.44 × 116,702.16
  4. Step 4: Simplify right side
    294,219.60x = 51,489,977,958.23
  5. Step 5: Solve for x
    x = 51,489,977,958.23/294,219.60
  6. Step 6: Final answer
    x = 175,005.26

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1.5x scale

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.