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Finding the Fourth Proportional to 410,038.21, 565,852.97 and 228,750.14

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Solution

The fourth proportional to 410,038.21, 565,852.97 and 228,750.14 is: 315,675.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,038.21 : 565,852.97 = 228,750.14 : x
  2. Step 2: Convert to fraction form
    410,038.21/565,852.97 = 228,750.14/x
  3. Step 3: Cross multiply
    410,038.21x = 565,852.97 × 228,750.14
  4. Step 4: Simplify right side
    410,038.21x = 129,438,948,093.42
  5. Step 5: Solve for x
    x = 129,438,948,093.42/410,038.21
  6. Step 6: Final answer
    x = 315,675.33

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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.