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Finding the Fourth Proportional to 297,490.51, 410,536.65 and 163,354.51

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Solution

The fourth proportional to 297,490.51, 410,536.65 and 163,354.51 is: 225,429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,490.51 : 410,536.65 = 163,354.51 : x
  2. Step 2: Convert to fraction form
    297,490.51/410,536.65 = 163,354.51/x
  3. Step 3: Cross multiply
    297,490.51x = 410,536.65 × 163,354.51
  4. Step 4: Simplify right side
    297,490.51x = 67,063,013,297.79
  5. Step 5: Solve for x
    x = 67,063,013,297.79/297,490.51
  6. Step 6: Final answer
    x = 225,429.08

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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.