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Finding the Fourth Proportional to 421,137.29, 631,771.53 and 252,618

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Solution

The fourth proportional to 421,137.29, 631,771.53 and 252,618 is: 378,966.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,137.29 : 631,771.53 = 252,618 : x
  2. Step 2: Convert to fraction form
    421,137.29/631,771.53 = 252,618/x
  3. Step 3: Cross multiply
    421,137.29x = 631,771.53 × 252,618
  4. Step 4: Simplify right side
    421,137.29x = 159,596,860,365.54
  5. Step 5: Solve for x
    x = 159,596,860,365.54/421,137.29
  6. Step 6: Final answer
    x = 378,966.35

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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.