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Finding the Fourth Proportional to 465,825.40, 698,738.10 and 465,825.40

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Solution

The fourth proportional to 465,825.40, 698,738.10 and 465,825.40 is: 698,738.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,825.40 : 698,738.10 = 465,825.40 : x
  2. Step 2: Convert to fraction form
    465,825.40/698,738.10 = 465,825.40/x
  3. Step 3: Cross multiply
    465,825.40x = 698,738.10 × 465,825.40
  4. Step 4: Simplify right side
    465,825.40x = 325,489,954,927.74
  5. Step 5: Solve for x
    x = 325,489,954,927.74/465,825.40
  6. Step 6: Final answer
    x = 698,738.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.