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Finding the Fourth Proportional to 456,867, 630,388.98 and 295,699.68

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Solution

The fourth proportional to 456,867, 630,388.98 and 295,699.68 is: 408,008.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,867 : 630,388.98 = 295,699.68 : x
  2. Step 2: Convert to fraction form
    456,867/630,388.98 = 295,699.68/x
  3. Step 3: Cross multiply
    456,867x = 630,388.98 × 295,699.68
  4. Step 4: Simplify right side
    456,867x = 186,405,819,661.53
  5. Step 5: Solve for x
    x = 186,405,819,661.53/456,867
  6. Step 6: Final answer
    x = 408,008.94

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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.