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Finding the Fourth Proportional to 293,664.52, 405,320.10 and 178,980.52

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Solution

The fourth proportional to 293,664.52, 405,320.10 and 178,980.52 is: 247,031.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,664.52 : 405,320.10 = 178,980.52 : x
  2. Step 2: Convert to fraction form
    293,664.52/405,320.10 = 178,980.52/x
  3. Step 3: Cross multiply
    293,664.52x = 405,320.10 × 178,980.52
  4. Step 4: Simplify right side
    293,664.52x = 72,544,402,264.45
  5. Step 5: Solve for x
    x = 72,544,402,264.45/293,664.52
  6. Step 6: Final answer
    x = 247,031.55

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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.