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Finding the Fourth Proportional to 434,998.80, 610,398 and 434,998.80

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Solution

The fourth proportional to 434,998.80, 610,398 and 434,998.80 is: 610,398

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,998.80 : 610,398 = 434,998.80 : x
  2. Step 2: Convert to fraction form
    434,998.80/610,398 = 434,998.80/x
  3. Step 3: Cross multiply
    434,998.80x = 610,398 × 434,998.80
  4. Step 4: Simplify right side
    434,998.80x = 265,522,397,522.40
  5. Step 5: Solve for x
    x = 265,522,397,522.40/434,998.80
  6. Step 6: Final answer
    x = 610,398

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.