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Finding the Fourth Proportional to 286,358.27, 429,534.67 and 174,069.50

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Solution

The fourth proportional to 286,358.27, 429,534.67 and 174,069.50 is: 261,102.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,358.27 : 429,534.67 = 174,069.50 : x
  2. Step 2: Convert to fraction form
    286,358.27/429,534.67 = 174,069.50/x
  3. Step 3: Cross multiply
    286,358.27x = 429,534.67 × 174,069.50
  4. Step 4: Simplify right side
    286,358.27x = 74,768,885,239.57
  5. Step 5: Solve for x
    x = 74,768,885,239.57/286,358.27
  6. Step 6: Final answer
    x = 261,102.59

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