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Finding the Fourth Proportional to 602,051.44, 830,839.02 and 330,118.66

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Solution

The fourth proportional to 602,051.44, 830,839.02 and 330,118.66 is: 455,568.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,051.44 : 830,839.02 = 330,118.66 : x
  2. Step 2: Convert to fraction form
    602,051.44/830,839.02 = 330,118.66/x
  3. Step 3: Cross multiply
    602,051.44x = 830,839.02 × 330,118.66
  4. Step 4: Simplify right side
    602,051.44x = 274,275,463,958.11
  5. Step 5: Solve for x
    x = 274,275,463,958.11/602,051.44
  6. Step 6: Final answer
    x = 455,568.16

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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.