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Finding the Fourth Proportional to 524,065.68, 786,021.84 and 257,754.60

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Solution

The fourth proportional to 524,065.68, 786,021.84 and 257,754.60 is: 386,594.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,065.68 : 786,021.84 = 257,754.60 : x
  2. Step 2: Convert to fraction form
    524,065.68/786,021.84 = 257,754.60/x
  3. Step 3: Cross multiply
    524,065.68x = 786,021.84 × 257,754.60
  4. Step 4: Simplify right side
    524,065.68x = 202,600,744,960.46
  5. Step 5: Solve for x
    x = 202,600,744,960.46/524,065.68
  6. Step 6: Final answer
    x = 386,594.19

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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.