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Finding the Fourth Proportional to 429,411.84, 593,146.08 and 326,814

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Solution

The fourth proportional to 429,411.84, 593,146.08 and 326,814 is: 451,427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,411.84 : 593,146.08 = 326,814 : x
  2. Step 2: Convert to fraction form
    429,411.84/593,146.08 = 326,814/x
  3. Step 3: Cross multiply
    429,411.84x = 593,146.08 × 326,814
  4. Step 4: Simplify right side
    429,411.84x = 193,848,442,989.12
  5. Step 5: Solve for x
    x = 193,848,442,989.12/429,411.84
  6. Step 6: Final answer
    x = 451,427.80

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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.