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Finding the Fourth Proportional to 364,041.30, 545,932.35 and 164,457.30

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Solution

The fourth proportional to 364,041.30, 545,932.35 and 164,457.30 is: 246,627.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,041.30 : 545,932.35 = 164,457.30 : x
  2. Step 2: Convert to fraction form
    364,041.30/545,932.35 = 164,457.30/x
  3. Step 3: Cross multiply
    364,041.30x = 545,932.35 × 164,457.30
  4. Step 4: Simplify right side
    364,041.30x = 89,782,560,263.66
  5. Step 5: Solve for x
    x = 89,782,560,263.66/364,041.30
  6. Step 6: Final answer
    x = 246,627.40

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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.