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Finding the Fourth Proportional to 454,145.40, 681,218.10 and 454,145.40

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Solution

The fourth proportional to 454,145.40, 681,218.10 and 454,145.40 is: 681,218.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,145.40 : 681,218.10 = 454,145.40 : x
  2. Step 2: Convert to fraction form
    454,145.40/681,218.10 = 454,145.40/x
  3. Step 3: Cross multiply
    454,145.40x = 681,218.10 × 454,145.40
  4. Step 4: Simplify right side
    454,145.40x = 309,372,066,511.74
  5. Step 5: Solve for x
    x = 309,372,066,511.74/454,145.40
  6. Step 6: Final answer
    x = 681,218.10

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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.