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Finding the Fourth Proportional to 475,898.02, 713,620.95 and 276,279.46

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Solution

The fourth proportional to 475,898.02, 713,620.95 and 276,279.46 is: 414,287.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,898.02 : 713,620.95 = 276,279.46 : x
  2. Step 2: Convert to fraction form
    475,898.02/713,620.95 = 276,279.46/x
  3. Step 3: Cross multiply
    475,898.02x = 713,620.95 × 276,279.46
  4. Step 4: Simplify right side
    475,898.02x = 197,158,810,710.69
  5. Step 5: Solve for x
    x = 197,158,810,710.69/475,898.02
  6. Step 6: Final answer
    x = 414,287.94

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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.