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Finding the Fourth Proportional to 319,092.98, 440,346.10 and 175,853.14

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Solution

The fourth proportional to 319,092.98, 440,346.10 and 175,853.14 is: 242,676.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,092.98 : 440,346.10 = 175,853.14 : x
  2. Step 2: Convert to fraction form
    319,092.98/440,346.10 = 175,853.14/x
  3. Step 3: Cross multiply
    319,092.98x = 440,346.10 × 175,853.14
  4. Step 4: Simplify right side
    319,092.98x = 77,436,244,371.75
  5. Step 5: Solve for x
    x = 77,436,244,371.75/319,092.98
  6. Step 6: Final answer
    x = 242,676.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.