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Finding the Fourth Proportional to 853,492.86, 1,280,429.98 and 321,018.52

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Solution

The fourth proportional to 853,492.86, 1,280,429.98 and 321,018.52 is: 481,599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,492.86 : 1,280,429.98 = 321,018.52 : x
  2. Step 2: Convert to fraction form
    853,492.86/1,280,429.98 = 321,018.52/x
  3. Step 3: Cross multiply
    853,492.86x = 1,280,429.98 × 321,018.52
  4. Step 4: Simplify right side
    853,492.86x = 411,041,737,143.23
  5. Step 5: Solve for x
    x = 411,041,737,143.23/853,492.86
  6. Step 6: Final answer
    x = 481,599.50

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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.