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Finding the Fourth Proportional to 709,031.09, 978,824.10 and 547,523.57

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Solution

The fourth proportional to 709,031.09, 978,824.10 and 547,523.57 is: 755,861.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,031.09 : 978,824.10 = 547,523.57 : x
  2. Step 2: Convert to fraction form
    709,031.09/978,824.10 = 547,523.57/x
  3. Step 3: Cross multiply
    709,031.09x = 978,824.10 × 547,523.57
  4. Step 4: Simplify right side
    709,031.09x = 535,929,260,739.92
  5. Step 5: Solve for x
    x = 535,929,260,739.92/709,031.09
  6. Step 6: Final answer
    x = 755,861.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.