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Finding the Fourth Proportional to 245,214, 365,675.13 and 242,971.86

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Solution

The fourth proportional to 245,214, 365,675.13 and 242,971.86 is: 362,331.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,214 : 365,675.13 = 242,971.86 : x
  2. Step 2: Convert to fraction form
    245,214/365,675.13 = 242,971.86/x
  3. Step 3: Cross multiply
    245,214x = 365,675.13 × 242,971.86
  4. Step 4: Simplify right side
    245,214x = 88,848,766,491.84
  5. Step 5: Solve for x
    x = 88,848,766,491.84/245,214
  6. Step 6: Final answer
    x = 362,331.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.