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Finding the Fourth Proportional to 407,044.88, 610,442.94 and 281,492

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Solution

The fourth proportional to 407,044.88, 610,442.94 and 281,492 is: 422,151.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,044.88 : 610,442.94 = 281,492 : x
  2. Step 2: Convert to fraction form
    407,044.88/610,442.94 = 281,492/x
  3. Step 3: Cross multiply
    407,044.88x = 610,442.94 × 281,492
  4. Step 4: Simplify right side
    407,044.88x = 171,834,804,066.48
  5. Step 5: Solve for x
    x = 171,834,804,066.48/407,044.88
  6. Step 6: Final answer
    x = 422,151.98

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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.