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Finding the Fourth Proportional to 524,217, 786,326.04 and 130,233

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Solution

The fourth proportional to 524,217, 786,326.04 and 130,233 is: 195,349.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,217 : 786,326.04 = 130,233 : x
  2. Step 2: Convert to fraction form
    524,217/786,326.04 = 130,233/x
  3. Step 3: Cross multiply
    524,217x = 786,326.04 × 130,233
  4. Step 4: Simplify right side
    524,217x = 102,405,599,167.32
  5. Step 5: Solve for x
    x = 102,405,599,167.32/524,217
  6. Step 6: Final answer
    x = 195,349.63

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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.