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Finding the Fourth Proportional to 595,306.56, 893,082.86 and 195,971.30

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Solution

The fourth proportional to 595,306.56, 893,082.86 and 195,971.30 is: 293,997.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,306.56 : 893,082.86 = 195,971.30 : x
  2. Step 2: Convert to fraction form
    595,306.56/893,082.86 = 195,971.30/x
  3. Step 3: Cross multiply
    595,306.56x = 893,082.86 × 195,971.30
  4. Step 4: Simplify right side
    595,306.56x = 175,018,605,106.43
  5. Step 5: Solve for x
    x = 175,018,605,106.43/595,306.56
  6. Step 6: Final answer
    x = 293,997.44

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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.