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Finding the Fourth Proportional to 304,769.89, 457,184.90 and 105,063.98

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Solution

The fourth proportional to 304,769.89, 457,184.90 and 105,063.98 is: 157,606.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,769.89 : 457,184.90 = 105,063.98 : x
  2. Step 2: Convert to fraction form
    304,769.89/457,184.90 = 105,063.98/x
  3. Step 3: Cross multiply
    304,769.89x = 457,184.90 × 105,063.98
  4. Step 4: Simplify right side
    304,769.89x = 48,033,666,595.52
  5. Step 5: Solve for x
    x = 48,033,666,595.52/304,769.89
  6. Step 6: Final answer
    x = 157,606.34

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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.