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Finding the Fourth Proportional to 510,087.84, 704,069.52 and 340,321.68

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Solution

The fourth proportional to 510,087.84, 704,069.52 and 340,321.68 is: 469,742.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,087.84 : 704,069.52 = 340,321.68 : x
  2. Step 2: Convert to fraction form
    510,087.84/704,069.52 = 340,321.68/x
  3. Step 3: Cross multiply
    510,087.84x = 704,069.52 × 340,321.68
  4. Step 4: Simplify right side
    510,087.84x = 239,610,121,883.19
  5. Step 5: Solve for x
    x = 239,610,121,883.19/510,087.84
  6. Step 6: Final answer
    x = 469,742.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.