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Finding the Fourth Proportional to 293,957.50, 405,734.82 and 180,714.64

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Solution

The fourth proportional to 293,957.50, 405,734.82 and 180,714.64 is: 249,431.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,957.50 : 405,734.82 = 180,714.64 : x
  2. Step 2: Convert to fraction form
    293,957.50/405,734.82 = 180,714.64/x
  3. Step 3: Cross multiply
    293,957.50x = 405,734.82 × 180,714.64
  4. Step 4: Simplify right side
    293,957.50x = 73,322,221,931.76
  5. Step 5: Solve for x
    x = 73,322,221,931.76/293,957.50
  6. Step 6: Final answer
    x = 249,431.37

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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.