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Finding the Fourth Proportional to 398,588.85, 597,703.35 and 114,214.35

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Solution

The fourth proportional to 398,588.85, 597,703.35 and 114,214.35 is: 171,269.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,588.85 : 597,703.35 = 114,214.35 : x
  2. Step 2: Convert to fraction form
    398,588.85/597,703.35 = 114,214.35/x
  3. Step 3: Cross multiply
    398,588.85x = 597,703.35 × 114,214.35
  4. Step 4: Simplify right side
    398,588.85x = 68,266,302,282.76
  5. Step 5: Solve for x
    x = 68,266,302,282.76/398,588.85
  6. Step 6: Final answer
    x = 171,269.97

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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.