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Finding the Fourth Proportional to 364,031.80, 545,918.10 and 164,447.80

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Solution

The fourth proportional to 364,031.80, 545,918.10 and 164,447.80 is: 246,613.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,031.80 : 545,918.10 = 164,447.80 : x
  2. Step 2: Convert to fraction form
    364,031.80/545,918.10 = 164,447.80/x
  3. Step 3: Cross multiply
    364,031.80x = 545,918.10 × 164,447.80
  4. Step 4: Simplify right side
    364,031.80x = 89,775,030,525.18
  5. Step 5: Solve for x
    x = 89,775,030,525.18/364,031.80
  6. Step 6: Final answer
    x = 246,613.15

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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.