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Finding the Fourth Proportional to 421,470.32, 581,629.02 and 230,483.84

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Solution

The fourth proportional to 421,470.32, 581,629.02 and 230,483.84 is: 318,067.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,470.32 : 581,629.02 = 230,483.84 : x
  2. Step 2: Convert to fraction form
    421,470.32/581,629.02 = 230,483.84/x
  3. Step 3: Cross multiply
    421,470.32x = 581,629.02 × 230,483.84
  4. Step 4: Simplify right side
    421,470.32x = 134,056,089,985.04
  5. Step 5: Solve for x
    x = 134,056,089,985.04/421,470.32
  6. Step 6: Final answer
    x = 318,067.69

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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.