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Finding the Fourth Proportional to 713,137.80, 984,137.86 and 390,840.96

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Solution

The fourth proportional to 713,137.80, 984,137.86 and 390,840.96 is: 539,364.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,137.80 : 984,137.86 = 390,840.96 : x
  2. Step 2: Convert to fraction form
    713,137.80/984,137.86 = 390,840.96/x
  3. Step 3: Cross multiply
    713,137.80x = 984,137.86 × 390,840.96
  4. Step 4: Simplify right side
    713,137.80x = 384,641,385,974.75
  5. Step 5: Solve for x
    x = 384,641,385,974.75/713,137.80
  6. Step 6: Final answer
    x = 539,364.74

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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.