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Finding the Fourth Proportional to 475,871.49, 713,581.25 and 276,253.07

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Solution

The fourth proportional to 475,871.49, 713,581.25 and 276,253.07 is: 414,248.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,871.49 : 713,581.25 = 276,253.07 : x
  2. Step 2: Convert to fraction form
    475,871.49/713,581.25 = 276,253.07/x
  3. Step 3: Cross multiply
    475,871.49x = 713,581.25 × 276,253.07
  4. Step 4: Simplify right side
    475,871.49x = 197,129,006,057.77
  5. Step 5: Solve for x
    x = 197,129,006,057.77/475,871.49
  6. Step 6: Final answer
    x = 414,248.41

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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.