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Finding the Fourth Proportional to 353,206.08, 487,178.64 and 232,309.44

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Solution

The fourth proportional to 353,206.08, 487,178.64 and 232,309.44 is: 320,425.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,206.08 : 487,178.64 = 232,309.44 : x
  2. Step 2: Convert to fraction form
    353,206.08/487,178.64 = 232,309.44/x
  3. Step 3: Cross multiply
    353,206.08x = 487,178.64 × 232,309.44
  4. Step 4: Simplify right side
    353,206.08x = 113,176,197,038.36
  5. Step 5: Solve for x
    x = 113,176,197,038.36/353,206.08
  6. Step 6: Final answer
    x = 320,425.39

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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.