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Finding the Fourth Proportional to 713,706.40, 984,913.32 and 411,900.40

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Solution

The fourth proportional to 713,706.40, 984,913.32 and 411,900.40 is: 568,421.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,706.40 : 984,913.32 = 411,900.40 : x
  2. Step 2: Convert to fraction form
    713,706.40/984,913.32 = 411,900.40/x
  3. Step 3: Cross multiply
    713,706.40x = 984,913.32 × 411,900.40
  4. Step 4: Simplify right side
    713,706.40x = 405,686,190,473.33
  5. Step 5: Solve for x
    x = 405,686,190,473.33/713,706.40
  6. Step 6: Final answer
    x = 568,421.68

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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.