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Finding the Fourth Proportional to 420,534.11, 580,316.81 and 239,228.98

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Solution

The fourth proportional to 420,534.11, 580,316.81 and 239,228.98 is: 330,124.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,534.11 : 580,316.81 = 239,228.98 : x
  2. Step 2: Convert to fraction form
    420,534.11/580,316.81 = 239,228.98/x
  3. Step 3: Cross multiply
    420,534.11x = 580,316.81 × 239,228.98
  4. Step 4: Simplify right side
    420,534.11x = 138,828,595,886.22
  5. Step 5: Solve for x
    x = 138,828,595,886.22/420,534.11
  6. Step 6: Final answer
    x = 330,124.46

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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.