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Finding the Fourth Proportional to 713,707.40, 984,914.70 and 411,901.40

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Solution

The fourth proportional to 713,707.40, 984,914.70 and 411,901.40 is: 568,423.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,707.40 : 984,914.70 = 411,901.40 : x
  2. Step 2: Convert to fraction form
    713,707.40/984,914.70 = 411,901.40/x
  3. Step 3: Cross multiply
    713,707.40x = 984,914.70 × 411,901.40
  4. Step 4: Simplify right side
    713,707.40x = 405,687,743,810.58
  5. Step 5: Solve for x
    x = 405,687,743,810.58/713,707.40
  6. Step 6: Final answer
    x = 568,423.06

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Double scale
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1.5x scale

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.