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Finding the Fourth Proportional to 675,768.78, 1,013,686.83 and 202,409.01

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Solution

The fourth proportional to 675,768.78, 1,013,686.83 and 202,409.01 is: 303,623.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,768.78 : 1,013,686.83 = 202,409.01 : x
  2. Step 2: Convert to fraction form
    675,768.78/1,013,686.83 = 202,409.01/x
  3. Step 3: Cross multiply
    675,768.78x = 1,013,686.83 × 202,409.01
  4. Step 4: Simplify right side
    675,768.78x = 205,179,347,710.34
  5. Step 5: Solve for x
    x = 205,179,347,710.34/675,768.78
  6. Step 6: Final answer
    x = 303,623.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.