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Finding the Fourth Proportional to 511,177.44, 705,424.89 and 296,442.04

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Solution

The fourth proportional to 511,177.44, 705,424.89 and 296,442.04 is: 409,090.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,177.44 : 705,424.89 = 296,442.04 : x
  2. Step 2: Convert to fraction form
    511,177.44/705,424.89 = 296,442.04/x
  3. Step 3: Cross multiply
    511,177.44x = 705,424.89 × 296,442.04
  4. Step 4: Simplify right side
    511,177.44x = 209,117,593,458.38
  5. Step 5: Solve for x
    x = 209,117,593,458.38/511,177.44
  6. Step 6: Final answer
    x = 409,090.03

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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.