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Finding the Fourth Proportional to 524,010.56, 785,939.28 and 257,699.60

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Solution

The fourth proportional to 524,010.56, 785,939.28 and 257,699.60 is: 386,511.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,010.56 : 785,939.28 = 257,699.60 : x
  2. Step 2: Convert to fraction form
    524,010.56/785,939.28 = 257,699.60/x
  3. Step 3: Cross multiply
    524,010.56x = 785,939.28 × 257,699.60
  4. Step 4: Simplify right side
    524,010.56x = 202,536,238,080.29
  5. Step 5: Solve for x
    x = 202,536,238,080.29/524,010.56
  6. Step 6: Final answer
    x = 386,511.75

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1.5x scale

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.