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Finding the Fourth Proportional to 713,705.40, 984,911.94 and 411,899.40

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Solution

The fourth proportional to 713,705.40, 984,911.94 and 411,899.40 is: 568,420.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,705.40 : 984,911.94 = 411,899.40 : x
  2. Step 2: Convert to fraction form
    713,705.40/984,911.94 = 411,899.40/x
  3. Step 3: Cross multiply
    713,705.40x = 984,911.94 × 411,899.40
  4. Step 4: Simplify right side
    713,705.40x = 405,684,637,138.84
  5. Step 5: Solve for x
    x = 405,684,637,138.84/713,705.40
  6. Step 6: Final answer
    x = 568,420.30

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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.