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Finding the Fourth Proportional to 286,497.06, 429,478.48 and 96,824.80

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Solution

The fourth proportional to 286,497.06, 429,478.48 and 96,824.80 is: 145,146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,497.06 : 429,478.48 = 96,824.80 : x
  2. Step 2: Convert to fraction form
    286,497.06/429,478.48 = 96,824.80/x
  3. Step 3: Cross multiply
    286,497.06x = 429,478.48 × 96,824.80
  4. Step 4: Simplify right side
    286,497.06x = 41,584,167,930.30
  5. Step 5: Solve for x
    x = 41,584,167,930.30/286,497.06
  6. Step 6: Final answer
    x = 145,146.93

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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.