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Finding the Fourth Proportional to 410,037.65, 565,852.20 and 228,749.57

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Solution

The fourth proportional to 410,037.65, 565,852.20 and 228,749.57 is: 315,674.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,037.65 : 565,852.20 = 228,749.57 : x
  2. Step 2: Convert to fraction form
    410,037.65/565,852.20 = 228,749.57/x
  3. Step 3: Cross multiply
    410,037.65x = 565,852.20 × 228,749.57
  4. Step 4: Simplify right side
    410,037.65x = 129,438,449,051.35
  5. Step 5: Solve for x
    x = 129,438,449,051.35/410,037.65
  6. Step 6: Final answer
    x = 315,674.55

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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.