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Finding the Fourth Proportional to 505,135.32, 697,177.04 and 301,199.36

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Solution

The fourth proportional to 505,135.32, 697,177.04 and 301,199.36 is: 415,708.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,135.32 : 697,177.04 = 301,199.36 : x
  2. Step 2: Convert to fraction form
    505,135.32/697,177.04 = 301,199.36/x
  3. Step 3: Cross multiply
    505,135.32x = 697,177.04 × 301,199.36
  4. Step 4: Simplify right side
    505,135.32x = 209,989,278,254.69
  5. Step 5: Solve for x
    x = 209,989,278,254.69/505,135.32
  6. Step 6: Final answer
    x = 415,708.96

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