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Finding the Fourth Proportional to 461,127.87, 691,763.33 and 194,889.51

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Solution

The fourth proportional to 461,127.87, 691,763.33 and 194,889.51 is: 292,364.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,127.87 : 691,763.33 = 194,889.51 : x
  2. Step 2: Convert to fraction form
    461,127.87/691,763.33 = 194,889.51/x
  3. Step 3: Cross multiply
    461,127.87x = 691,763.33 × 194,889.51
  4. Step 4: Simplify right side
    461,127.87x = 134,817,415,445.22
  5. Step 5: Solve for x
    x = 134,817,415,445.22/461,127.87
  6. Step 6: Final answer
    x = 292,364.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.