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Finding the Fourth Proportional to 510,412, 765,559.69 and 136,464.16

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Solution

The fourth proportional to 510,412, 765,559.69 and 136,464.16 is: 204,680.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,412 : 765,559.69 = 136,464.16 : x
  2. Step 2: Convert to fraction form
    510,412/765,559.69 = 136,464.16/x
  3. Step 3: Cross multiply
    510,412x = 765,559.69 × 136,464.16
  4. Step 4: Simplify right side
    510,412x = 104,471,460,025.71
  5. Step 5: Solve for x
    x = 104,471,460,025.71/510,412
  6. Step 6: Final answer
    x = 204,680.65

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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.