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Finding the Fourth Proportional to 364,486.85, 546,287.00 and 257,901.51

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Solution

The fourth proportional to 364,486.85, 546,287.00 and 257,901.51 is: 386,538.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,486.85 : 546,287.00 = 257,901.51 : x
  2. Step 2: Convert to fraction form
    364,486.85/546,287.00 = 257,901.51/x
  3. Step 3: Cross multiply
    364,486.85x = 546,287.00 × 257,901.51
  4. Step 4: Simplify right side
    364,486.85x = 140,888,240,903.86
  5. Step 5: Solve for x
    x = 140,888,240,903.86/364,486.85
  6. Step 6: Final answer
    x = 386,538.62

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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.