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Finding the Fourth Proportional to 342,002.60, 513,003.90 and 152,462.60

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Solution

The fourth proportional to 342,002.60, 513,003.90 and 152,462.60 is: 228,693.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,002.60 : 513,003.90 = 152,462.60 : x
  2. Step 2: Convert to fraction form
    342,002.60/513,003.90 = 152,462.60/x
  3. Step 3: Cross multiply
    342,002.60x = 513,003.90 × 152,462.60
  4. Step 4: Simplify right side
    342,002.60x = 78,213,908,404.14
  5. Step 5: Solve for x
    x = 78,213,908,404.14/342,002.60
  6. Step 6: Final answer
    x = 228,693.90

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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.