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Finding the Fourth Proportional to 319,532, 479,298.08 and 97,916

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Solution

The fourth proportional to 319,532, 479,298.08 and 97,916 is: 146,874.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,532 : 479,298.08 = 97,916 : x
  2. Step 2: Convert to fraction form
    319,532/479,298.08 = 97,916/x
  3. Step 3: Cross multiply
    319,532x = 479,298.08 × 97,916
  4. Step 4: Simplify right side
    319,532x = 46,930,950,801.28
  5. Step 5: Solve for x
    x = 46,930,950,801.28/319,532
  6. Step 6: Final answer
    x = 146,874.02

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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.