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Finding the Fourth Proportional to 470,733.66, 705,702.60 and 204,293.88

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Solution

The fourth proportional to 470,733.66, 705,702.60 and 204,293.88 is: 306,268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,733.66 : 705,702.60 = 204,293.88 : x
  2. Step 2: Convert to fraction form
    470,733.66/705,702.60 = 204,293.88/x
  3. Step 3: Cross multiply
    470,733.66x = 705,702.60 × 204,293.88
  4. Step 4: Simplify right side
    470,733.66x = 144,170,722,280.09
  5. Step 5: Solve for x
    x = 144,170,722,280.09/470,733.66
  6. Step 6: Final answer
    x = 306,268.14

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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.