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Finding the Fourth Proportional to 417,846.30, 626,769.45 and 102,306.30

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Solution

The fourth proportional to 417,846.30, 626,769.45 and 102,306.30 is: 153,459.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,846.30 : 626,769.45 = 102,306.30 : x
  2. Step 2: Convert to fraction form
    417,846.30/626,769.45 = 102,306.30/x
  3. Step 3: Cross multiply
    417,846.30x = 626,769.45 × 102,306.30
  4. Step 4: Simplify right side
    417,846.30x = 64,122,463,382.54
  5. Step 5: Solve for x
    x = 64,122,463,382.54/417,846.30
  6. Step 6: Final answer
    x = 153,459.45

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