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Finding the Fourth Proportional to 475,808.24, 713,486.34 and 276,189.80

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Solution

The fourth proportional to 475,808.24, 713,486.34 and 276,189.80 is: 414,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,808.24 : 713,486.34 = 276,189.80 : x
  2. Step 2: Convert to fraction form
    475,808.24/713,486.34 = 276,189.80/x
  3. Step 3: Cross multiply
    475,808.24x = 713,486.34 × 276,189.80
  4. Step 4: Simplify right side
    475,808.24x = 197,057,649,547.33
  5. Step 5: Solve for x
    x = 197,057,649,547.33/475,808.24
  6. Step 6: Final answer
    x = 414,153.50

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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.