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Finding the Fourth Proportional to 308,097.60, 461,122.40 and 223,617.60

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Solution

The fourth proportional to 308,097.60, 461,122.40 and 223,617.60 is: 334,683.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,097.60 : 461,122.40 = 223,617.60 : x
  2. Step 2: Convert to fraction form
    308,097.60/461,122.40 = 223,617.60/x
  3. Step 3: Cross multiply
    308,097.60x = 461,122.40 × 223,617.60
  4. Step 4: Simplify right side
    308,097.60x = 103,115,084,394.24
  5. Step 5: Solve for x
    x = 103,115,084,394.24/308,097.60
  6. Step 6: Final answer
    x = 334,683.18

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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.