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Finding the Fourth Proportional to 463,673.64, 639,877.74 and 259,722.84

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Solution

The fourth proportional to 463,673.64, 639,877.74 and 259,722.84 is: 358,422.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,673.64 : 639,877.74 = 259,722.84 : x
  2. Step 2: Convert to fraction form
    463,673.64/639,877.74 = 259,722.84/x
  3. Step 3: Cross multiply
    463,673.64x = 639,877.74 × 259,722.84
  4. Step 4: Simplify right side
    463,673.64x = 166,190,863,885.58
  5. Step 5: Solve for x
    x = 166,190,863,885.58/463,673.64
  6. Step 6: Final answer
    x = 358,422.07

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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.