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Finding the Fourth Proportional to 286,515.24, 429,858.80 and 115,649.03

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Solution

The fourth proportional to 286,515.24, 429,858.80 and 115,649.03 is: 173,508.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,515.24 : 429,858.80 = 115,649.03 : x
  2. Step 2: Convert to fraction form
    286,515.24/429,858.80 = 115,649.03/x
  3. Step 3: Cross multiply
    286,515.24x = 429,858.80 × 115,649.03
  4. Step 4: Simplify right side
    286,515.24x = 49,712,754,187.05
  5. Step 5: Solve for x
    x = 49,712,754,187.05/286,515.24
  6. Step 6: Final answer
    x = 173,508.24

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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.