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Finding the Fourth Proportional to 284,358,843.60, 426,538,265.40 and 241,418,410.80

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Solution

The fourth proportional to 284,358,843.60, 426,538,265.40 and 241,418,410.80 is: 362,127,616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,358,843.60 : 426,538,265.40 = 241,418,410.80 : x
  2. Step 2: Convert to fraction form
    284,358,843.60/426,538,265.40 = 241,418,410.80/x
  3. Step 3: Cross multiply
    284,358,843.60x = 426,538,265.40 × 241,418,410.80
  4. Step 4: Simplify right side
    284,358,843.60x = 102,974,190,178,256,624
  5. Step 5: Solve for x
    x = 102,974,190,178,256,624/284,358,843.60
  6. Step 6: Final answer
    x = 362,127,616.20

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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.