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Finding the Fourth Proportional to 940,097.28, 1,409,616 and 308,841.60

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Solution

The fourth proportional to 940,097.28, 1,409,616 and 308,841.60 is: 463,088.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,097.28 : 1,409,616 = 308,841.60 : x
  2. Step 2: Convert to fraction form
    940,097.28/1,409,616 = 308,841.60/x
  3. Step 3: Cross multiply
    940,097.28x = 1,409,616 × 308,841.60
  4. Step 4: Simplify right side
    940,097.28x = 435,348,060,825.60
  5. Step 5: Solve for x
    x = 435,348,060,825.60/940,097.28
  6. Step 6: Final answer
    x = 463,088.31

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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.