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Finding the Fourth Proportional to 713,509.97, 1,070,443.56 and 208,071

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Solution

The fourth proportional to 713,509.97, 1,070,443.56 and 208,071 is: 312,158.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,509.97 : 1,070,443.56 = 208,071 : x
  2. Step 2: Convert to fraction form
    713,509.97/1,070,443.56 = 208,071/x
  3. Step 3: Cross multiply
    713,509.97x = 1,070,443.56 × 208,071
  4. Step 4: Simplify right side
    713,509.97x = 222,728,261,972.76
  5. Step 5: Solve for x
    x = 222,728,261,972.76/713,509.97
  6. Step 6: Final answer
    x = 312,158.58

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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.