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Finding the Fourth Proportional to 340,577.84, 510,178.26 and 171,862.94

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Solution

The fourth proportional to 340,577.84, 510,178.26 and 171,862.94 is: 257,446.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,577.84 : 510,178.26 = 171,862.94 : x
  2. Step 2: Convert to fraction form
    340,577.84/510,178.26 = 171,862.94/x
  3. Step 3: Cross multiply
    340,577.84x = 510,178.26 × 171,862.94
  4. Step 4: Simplify right side
    340,577.84x = 87,680,735,687.68
  5. Step 5: Solve for x
    x = 87,680,735,687.68/340,577.84
  6. Step 6: Final answer
    x = 257,446.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.