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Finding the Fourth Proportional to 422,675.84, 583,303.84 and 238,899.84

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Solution

The fourth proportional to 422,675.84, 583,303.84 and 238,899.84 is: 329,688.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,675.84 : 583,303.84 = 238,899.84 : x
  2. Step 2: Convert to fraction form
    422,675.84/583,303.84 = 238,899.84/x
  3. Step 3: Cross multiply
    422,675.84x = 583,303.84 × 238,899.84
  4. Step 4: Simplify right side
    422,675.84x = 139,351,194,047.39
  5. Step 5: Solve for x
    x = 139,351,194,047.39/422,675.84
  6. Step 6: Final answer
    x = 329,688.10

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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.