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Finding the Fourth Proportional to 342,133.60, 512,228.40 and 323,514.40

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Solution

The fourth proportional to 342,133.60, 512,228.40 and 323,514.40 is: 484,352.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,133.60 : 512,228.40 = 323,514.40 : x
  2. Step 2: Convert to fraction form
    342,133.60/512,228.40 = 323,514.40/x
  3. Step 3: Cross multiply
    342,133.60x = 512,228.40 × 323,514.40
  4. Step 4: Simplify right side
    342,133.60x = 165,713,263,488.96
  5. Step 5: Solve for x
    x = 165,713,263,488.96/342,133.60
  6. Step 6: Final answer
    x = 484,352.50

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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.