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Finding the Fourth Proportional to 713,119.98, 984,113.37 and 390,823.14

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Solution

The fourth proportional to 713,119.98, 984,113.37 and 390,823.14 is: 539,340.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,119.98 : 984,113.37 = 390,823.14 : x
  2. Step 2: Convert to fraction form
    713,119.98/984,113.37 = 390,823.14/x
  3. Step 3: Cross multiply
    713,119.98x = 984,113.37 × 390,823.14
  4. Step 4: Simplify right side
    713,119.98x = 384,614,277,379.38
  5. Step 5: Solve for x
    x = 384,614,277,379.38/713,119.98
  6. Step 6: Final answer
    x = 539,340.21

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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.