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Finding the Fourth Proportional to 700,462.56, 1,050,797.52 and 257,196

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Solution

The fourth proportional to 700,462.56, 1,050,797.52 and 257,196 is: 385,832.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,462.56 : 1,050,797.52 = 257,196 : x
  2. Step 2: Convert to fraction form
    700,462.56/1,050,797.52 = 257,196/x
  3. Step 3: Cross multiply
    700,462.56x = 1,050,797.52 × 257,196
  4. Step 4: Simplify right side
    700,462.56x = 270,260,918,953.92
  5. Step 5: Solve for x
    x = 270,260,918,953.92/700,462.56
  6. Step 6: Final answer
    x = 385,832.07

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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.