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Finding the Fourth Proportional to 452,001.70, 678,002.55 and 401,263.30

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Solution

The fourth proportional to 452,001.70, 678,002.55 and 401,263.30 is: 601,894.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,001.70 : 678,002.55 = 401,263.30 : x
  2. Step 2: Convert to fraction form
    452,001.70/678,002.55 = 401,263.30/x
  3. Step 3: Cross multiply
    452,001.70x = 678,002.55 × 401,263.30
  4. Step 4: Simplify right side
    452,001.70x = 272,057,540,621.42
  5. Step 5: Solve for x
    x = 272,057,540,621.42/452,001.70
  6. Step 6: Final answer
    x = 601,894.95

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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.