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Finding the Fourth Proportional to 492,878.54, 679,717.23 and 311,274.38

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Solution

The fourth proportional to 492,878.54, 679,717.23 and 311,274.38 is: 429,271.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,878.54 : 679,717.23 = 311,274.38 : x
  2. Step 2: Convert to fraction form
    492,878.54/679,717.23 = 311,274.38/x
  3. Step 3: Cross multiply
    492,878.54x = 679,717.23 × 311,274.38
  4. Step 4: Simplify right side
    492,878.54x = 211,578,559,343.57
  5. Step 5: Solve for x
    x = 211,578,559,343.57/492,878.54
  6. Step 6: Final answer
    x = 429,271.19

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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.