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Finding the Fourth Proportional to 299,533.08, 412,653.14 and 208,724.24

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Solution

The fourth proportional to 299,533.08, 412,653.14 and 208,724.24 is: 287,549.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,533.08 : 412,653.14 = 208,724.24 : x
  2. Step 2: Convert to fraction form
    299,533.08/412,653.14 = 208,724.24/x
  3. Step 3: Cross multiply
    299,533.08x = 412,653.14 × 208,724.24
  4. Step 4: Simplify right side
    299,533.08x = 86,130,713,030.11
  5. Step 5: Solve for x
    x = 86,130,713,030.11/299,533.08
  6. Step 6: Final answer
    x = 287,549.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.