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Finding the Fourth Proportional to 505,607.86, 697,710.27 and 301,888.81

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Solution

The fourth proportional to 505,607.86, 697,710.27 and 301,888.81 is: 416,589.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,607.86 : 697,710.27 = 301,888.81 : x
  2. Step 2: Convert to fraction form
    505,607.86/697,710.27 = 301,888.81/x
  3. Step 3: Cross multiply
    505,607.86x = 697,710.27 × 301,888.81
  4. Step 4: Simplify right side
    505,607.86x = 210,630,923,135.08
  5. Step 5: Solve for x
    x = 210,630,923,135.08/505,607.86
  6. Step 6: Final answer
    x = 416,589.50

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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.