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Finding the Fourth Proportional to 421,015.16, 581,009.28 and 230,040.38

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Solution

The fourth proportional to 421,015.16, 581,009.28 and 230,040.38 is: 317,460.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,015.16 : 581,009.28 = 230,040.38 : x
  2. Step 2: Convert to fraction form
    421,015.16/581,009.28 = 230,040.38/x
  3. Step 3: Cross multiply
    421,015.16x = 581,009.28 × 230,040.38
  4. Step 4: Simplify right side
    421,015.16x = 133,655,595,554.73
  5. Step 5: Solve for x
    x = 133,655,595,554.73/421,015.16
  6. Step 6: Final answer
    x = 317,460.29

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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.