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Finding the Fourth Proportional to 713,030.44, 984,429.42 and 458,823.40

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Solution

The fourth proportional to 713,030.44, 984,429.42 and 458,823.40 is: 633,464.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,030.44 : 984,429.42 = 458,823.40 : x
  2. Step 2: Convert to fraction form
    713,030.44/984,429.42 = 458,823.40/x
  3. Step 3: Cross multiply
    713,030.44x = 984,429.42 × 458,823.40
  4. Step 4: Simplify right side
    713,030.44x = 451,679,253,544.43
  5. Step 5: Solve for x
    x = 451,679,253,544.43/713,030.44
  6. Step 6: Final answer
    x = 633,464.19

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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.