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Finding the Fourth Proportional to 298,920.60, 412,467.66 and 185,702.04

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Solution

The fourth proportional to 298,920.60, 412,467.66 and 185,702.04 is: 256,242.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,920.60 : 412,467.66 = 185,702.04 : x
  2. Step 2: Convert to fraction form
    298,920.60/412,467.66 = 185,702.04/x
  3. Step 3: Cross multiply
    298,920.60x = 412,467.66 × 185,702.04
  4. Step 4: Simplify right side
    298,920.60x = 76,596,085,896.03
  5. Step 5: Solve for x
    x = 76,596,085,896.03/298,920.60
  6. Step 6: Final answer
    x = 256,242.25

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1.5x scale

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.