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Finding the Fourth Proportional to 326,123.98, 450,055.70 and 197,044.50

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Solution

The fourth proportional to 326,123.98, 450,055.70 and 197,044.50 is: 271,924.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,123.98 : 450,055.70 = 197,044.50 : x
  2. Step 2: Convert to fraction form
    326,123.98/450,055.70 = 197,044.50/x
  3. Step 3: Cross multiply
    326,123.98x = 450,055.70 × 197,044.50
  4. Step 4: Simplify right side
    326,123.98x = 88,681,000,378.65
  5. Step 5: Solve for x
    x = 88,681,000,378.65/326,123.98
  6. Step 6: Final answer
    x = 271,924.19

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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.