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Finding the Fourth Proportional to 342,021.60, 512,254.80 and 216,050.40

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Solution

The fourth proportional to 342,021.60, 512,254.80 and 216,050.40 is: 323,584.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,021.60 : 512,254.80 = 216,050.40 : x
  2. Step 2: Convert to fraction form
    342,021.60/512,254.80 = 216,050.40/x
  3. Step 3: Cross multiply
    342,021.60x = 512,254.80 × 216,050.40
  4. Step 4: Simplify right side
    342,021.60x = 110,672,854,441.92
  5. Step 5: Solve for x
    x = 110,672,854,441.92/342,021.60
  6. Step 6: Final answer
    x = 323,584.40

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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.