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Finding the Fourth Proportional to 283,756.32, 391,578.48 and 154,696.14

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Solution

The fourth proportional to 283,756.32, 391,578.48 and 154,696.14 is: 213,477.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,756.32 : 391,578.48 = 154,696.14 : x
  2. Step 2: Convert to fraction form
    283,756.32/391,578.48 = 154,696.14/x
  3. Step 3: Cross multiply
    283,756.32x = 391,578.48 × 154,696.14
  4. Step 4: Simplify right side
    283,756.32x = 60,575,679,363.07
  5. Step 5: Solve for x
    x = 60,575,679,363.07/283,756.32
  6. Step 6: Final answer
    x = 213,477.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.