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Finding the Fourth Proportional to 317,164.60, 475,827.90 and 223,852.60

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Solution

The fourth proportional to 317,164.60, 475,827.90 and 223,852.60 is: 335,836.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,164.60 : 475,827.90 = 223,852.60 : x
  2. Step 2: Convert to fraction form
    317,164.60/475,827.90 = 223,852.60/x
  3. Step 3: Cross multiply
    317,164.60x = 475,827.90 × 223,852.60
  4. Step 4: Simplify right side
    317,164.60x = 106,515,312,567.54
  5. Step 5: Solve for x
    x = 106,515,312,567.54/317,164.60
  6. Step 6: Final answer
    x = 335,836.07

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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.