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Finding the Fourth Proportional to 496,212.48, 684,951.36 and 295,008

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Solution

The fourth proportional to 496,212.48, 684,951.36 and 295,008 is: 407,216.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,212.48 : 684,951.36 = 295,008 : x
  2. Step 2: Convert to fraction form
    496,212.48/684,951.36 = 295,008/x
  3. Step 3: Cross multiply
    496,212.48x = 684,951.36 × 295,008
  4. Step 4: Simplify right side
    496,212.48x = 202,066,130,810.88
  5. Step 5: Solve for x
    x = 202,066,130,810.88/496,212.48
  6. Step 6: Final answer
    x = 407,216.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.