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Finding the Fourth Proportional to 552,655.80, 828,983.70 and 412,687.80

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Solution

The fourth proportional to 552,655.80, 828,983.70 and 412,687.80 is: 619,031.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,655.80 : 828,983.70 = 412,687.80 : x
  2. Step 2: Convert to fraction form
    552,655.80/828,983.70 = 412,687.80/x
  3. Step 3: Cross multiply
    552,655.80x = 828,983.70 × 412,687.80
  4. Step 4: Simplify right side
    552,655.80x = 342,111,459,388.86
  5. Step 5: Solve for x
    x = 342,111,459,388.86/552,655.80
  6. Step 6: Final answer
    x = 619,031.70

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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.