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Finding the Fourth Proportional to 308,907.40, 463,361.10 and 297,097.60

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Solution

The fourth proportional to 308,907.40, 463,361.10 and 297,097.60 is: 445,646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,907.40 : 463,361.10 = 297,097.60 : x
  2. Step 2: Convert to fraction form
    308,907.40/463,361.10 = 297,097.60/x
  3. Step 3: Cross multiply
    308,907.40x = 463,361.10 × 297,097.60
  4. Step 4: Simplify right side
    308,907.40x = 137,663,470,743.36
  5. Step 5: Solve for x
    x = 137,663,470,743.36/308,907.40
  6. Step 6: Final answer
    x = 445,646.40

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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.