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Finding the Fourth Proportional to 511,011.84, 705,040.23 and 296,110.38

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Solution

The fourth proportional to 511,011.84, 705,040.23 and 296,110.38 is: 408,541.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,011.84 : 705,040.23 = 296,110.38 : x
  2. Step 2: Convert to fraction form
    511,011.84/705,040.23 = 296,110.38/x
  3. Step 3: Cross multiply
    511,011.84x = 705,040.23 × 296,110.38
  4. Step 4: Simplify right side
    511,011.84x = 208,769,730,420.59
  5. Step 5: Solve for x
    x = 208,769,730,420.59/511,011.84
  6. Step 6: Final answer
    x = 408,541.87

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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.