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Finding the Fourth Proportional to 390,050.70, 584,638.65 and 200,437.80

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Solution

The fourth proportional to 390,050.70, 584,638.65 and 200,437.80 is: 300,431.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,050.70 : 584,638.65 = 200,437.80 : x
  2. Step 2: Convert to fraction form
    390,050.70/584,638.65 = 200,437.80/x
  3. Step 3: Cross multiply
    390,050.70x = 584,638.65 × 200,437.80
  4. Step 4: Simplify right side
    390,050.70x = 117,183,684,800.97
  5. Step 5: Solve for x
    x = 117,183,684,800.97/390,050.70
  6. Step 6: Final answer
    x = 300,431.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.