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Finding the Fourth Proportional to 524,029.44, 785,928.96 and 208,427.52

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Solution

The fourth proportional to 524,029.44, 785,928.96 and 208,427.52 is: 312,595.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,029.44 : 785,928.96 = 208,427.52 : x
  2. Step 2: Convert to fraction form
    524,029.44/785,928.96 = 208,427.52/x
  3. Step 3: Cross multiply
    524,029.44x = 785,928.96 × 208,427.52
  4. Step 4: Simplify right side
    524,029.44x = 163,809,224,028.98
  5. Step 5: Solve for x
    x = 163,809,224,028.98/524,029.44
  6. Step 6: Final answer
    x = 312,595.46

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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.