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Finding the Fourth Proportional to 286,453.41, 429,677.34 and 174,164.64

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Solution

The fourth proportional to 286,453.41, 429,677.34 and 174,164.64 is: 261,245.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,453.41 : 429,677.34 = 174,164.64 : x
  2. Step 2: Convert to fraction form
    286,453.41/429,677.34 = 174,164.64/x
  3. Step 3: Cross multiply
    286,453.41x = 429,677.34 × 174,164.64
  4. Step 4: Simplify right side
    286,453.41x = 74,834,599,237.26
  5. Step 5: Solve for x
    x = 74,834,599,237.26/286,453.41
  6. Step 6: Final answer
    x = 261,245.27

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1.5x scale

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.