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Finding the Fourth Proportional to 286,744.66, 429,848.32 and 97,072.36

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Solution

The fourth proportional to 286,744.66, 429,848.32 and 97,072.36 is: 145,517.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,744.66 : 429,848.32 = 97,072.36 : x
  2. Step 2: Convert to fraction form
    286,744.66/429,848.32 = 97,072.36/x
  3. Step 3: Cross multiply
    286,744.66x = 429,848.32 × 97,072.36
  4. Step 4: Simplify right side
    286,744.66x = 41,726,390,864.44
  5. Step 5: Solve for x
    x = 41,726,390,864.44/286,744.66
  6. Step 6: Final answer
    x = 145,517.59

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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.