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Finding the Fourth Proportional to 432,284.64, 596,679.50 and 251,078.03

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Solution

The fourth proportional to 432,284.64, 596,679.50 and 251,078.03 is: 346,561.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,284.64 : 596,679.50 = 251,078.03 : x
  2. Step 2: Convert to fraction form
    432,284.64/596,679.50 = 251,078.03/x
  3. Step 3: Cross multiply
    432,284.64x = 596,679.50 × 251,078.03
  4. Step 4: Simplify right side
    432,284.64x = 149,813,113,401.39
  5. Step 5: Solve for x
    x = 149,813,113,401.39/432,284.64
  6. Step 6: Final answer
    x = 346,561.27

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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.