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Finding the Fourth Proportional to 713,005.69, 983,851.56 and 407,062.61

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Solution

The fourth proportional to 713,005.69, 983,851.56 and 407,062.61 is: 561,691.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,005.69 : 983,851.56 = 407,062.61 : x
  2. Step 2: Convert to fraction form
    713,005.69/983,851.56 = 407,062.61/x
  3. Step 3: Cross multiply
    713,005.69x = 983,851.56 × 407,062.61
  4. Step 4: Simplify right side
    713,005.69x = 400,489,183,866.17
  5. Step 5: Solve for x
    x = 400,489,183,866.17/713,005.69
  6. Step 6: Final answer
    x = 561,691.43

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Why These Related Problems?

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