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Finding the Fourth Proportional to 713,507.97, 1,070,440.56 and 208,069.00

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Solution

The fourth proportional to 713,507.97, 1,070,440.56 and 208,069.00 is: 312,155.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,507.97 : 1,070,440.56 = 208,069.00 : x
  2. Step 2: Convert to fraction form
    713,507.97/1,070,440.56 = 208,069.00/x
  3. Step 3: Cross multiply
    713,507.97x = 1,070,440.56 × 208,069.00
  4. Step 4: Simplify right side
    713,507.97x = 222,725,497,840.66
  5. Step 5: Solve for x
    x = 222,725,497,840.66/713,507.97
  6. Step 6: Final answer
    x = 312,155.59

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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.