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Finding the Fourth Proportional to 913,902, 1,261,189.08 and 511,571.76

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Solution

The fourth proportional to 913,902, 1,261,189.08 and 511,571.76 is: 705,971.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,902 : 1,261,189.08 = 511,571.76 : x
  2. Step 2: Convert to fraction form
    913,902/1,261,189.08 = 511,571.76/x
  3. Step 3: Cross multiply
    913,902x = 1,261,189.08 × 511,571.76
  4. Step 4: Simplify right side
    913,902x = 645,188,717,348.38
  5. Step 5: Solve for x
    x = 645,188,717,348.38/913,902
  6. Step 6: Final answer
    x = 705,971.45

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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.