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Finding the Fourth Proportional to 346,492, 519,738 and 83,836

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Solution

The fourth proportional to 346,492, 519,738 and 83,836 is: 125,754

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,492 : 519,738 = 83,836 : x
  2. Step 2: Convert to fraction form
    346,492/519,738 = 83,836/x
  3. Step 3: Cross multiply
    346,492x = 519,738 × 83,836
  4. Step 4: Simplify right side
    346,492x = 43,572,754,968
  5. Step 5: Solve for x
    x = 43,572,754,968/346,492
  6. Step 6: Final answer
    x = 125,754

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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.