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Finding the Fourth Proportional to 713,700.40, 984,905.04 and 411,894.40

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Solution

The fourth proportional to 713,700.40, 984,905.04 and 411,894.40 is: 568,413.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,700.40 : 984,905.04 = 411,894.40 : x
  2. Step 2: Convert to fraction form
    713,700.40/984,905.04 = 411,894.40/x
  3. Step 3: Cross multiply
    713,700.40x = 984,905.04 × 411,894.40
  4. Step 4: Simplify right side
    713,700.40x = 405,676,870,507.78
  5. Step 5: Solve for x
    x = 405,676,870,507.78/713,700.40
  6. Step 6: Final answer
    x = 568,413.40

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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.