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Finding the Fourth Proportional to 385,514.40, 578,271.60 and 136,221.60

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Solution

The fourth proportional to 385,514.40, 578,271.60 and 136,221.60 is: 204,332.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,514.40 : 578,271.60 = 136,221.60 : x
  2. Step 2: Convert to fraction form
    385,514.40/578,271.60 = 136,221.60/x
  3. Step 3: Cross multiply
    385,514.40x = 578,271.60 × 136,221.60
  4. Step 4: Simplify right side
    385,514.40x = 78,773,082,586.56
  5. Step 5: Solve for x
    x = 78,773,082,586.56/385,514.40
  6. Step 6: Final answer
    x = 204,332.40

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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.