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Finding the Fourth Proportional to 538,011.24, 807,123.27 and 153,763.54

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Solution

The fourth proportional to 538,011.24, 807,123.27 and 153,763.54 is: 230,675.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,011.24 : 807,123.27 = 153,763.54 : x
  2. Step 2: Convert to fraction form
    538,011.24/807,123.27 = 153,763.54/x
  3. Step 3: Cross multiply
    538,011.24x = 807,123.27 × 153,763.54
  4. Step 4: Simplify right side
    538,011.24x = 124,106,131,211.58
  5. Step 5: Solve for x
    x = 124,106,131,211.58/538,011.24
  6. Step 6: Final answer
    x = 230,675.72

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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.