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Finding the Fourth Proportional to 602,056.28, 830,847.03 and 330,149

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Solution

The fourth proportional to 602,056.28, 830,847.03 and 330,149 is: 455,610.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,056.28 : 830,847.03 = 330,149 : x
  2. Step 2: Convert to fraction form
    602,056.28/830,847.03 = 330,149/x
  3. Step 3: Cross multiply
    602,056.28x = 830,847.03 × 330,149
  4. Step 4: Simplify right side
    602,056.28x = 274,303,316,107.47
  5. Step 5: Solve for x
    x = 274,303,316,107.47/602,056.28
  6. Step 6: Final answer
    x = 455,610.75

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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.