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Finding the Fourth Proportional to 601,742.69, 830,414.00 and 329,808.41

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Solution

The fourth proportional to 601,742.69, 830,414.00 and 329,808.41 is: 455,140.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,742.69 : 830,414.00 = 329,808.41 : x
  2. Step 2: Convert to fraction form
    601,742.69/830,414.00 = 329,808.41/x
  3. Step 3: Cross multiply
    601,742.69x = 830,414.00 × 329,808.41
  4. Step 4: Simplify right side
    601,742.69x = 273,877,519,332.70
  5. Step 5: Solve for x
    x = 273,877,519,332.70/601,742.69
  6. Step 6: Final answer
    x = 455,140.58

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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.