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Finding the Fourth Proportional to 492,586.82, 737,547.62 and 255,430.98

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Solution

The fourth proportional to 492,586.82, 737,547.62 and 255,430.98 is: 382,455.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,586.82 : 737,547.62 = 255,430.98 : x
  2. Step 2: Convert to fraction form
    492,586.82/737,547.62 = 255,430.98/x
  3. Step 3: Cross multiply
    492,586.82x = 737,547.62 × 255,430.98
  4. Step 4: Simplify right side
    492,586.82x = 188,392,511,373.27
  5. Step 5: Solve for x
    x = 188,392,511,373.27/492,586.82
  6. Step 6: Final answer
    x = 382,455.44

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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.