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Finding the Fourth Proportional to 325,849.30, 456,811.10 and 325,849.30

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Solution

The fourth proportional to 325,849.30, 456,811.10 and 325,849.30 is: 456,811.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,849.30 : 456,811.10 = 325,849.30 : x
  2. Step 2: Convert to fraction form
    325,849.30/456,811.10 = 325,849.30/x
  3. Step 3: Cross multiply
    325,849.30x = 456,811.10 × 325,849.30
  4. Step 4: Simplify right side
    325,849.30x = 148,851,577,167.23
  5. Step 5: Solve for x
    x = 148,851,577,167.23/325,849.30
  6. Step 6: Final answer
    x = 456,811.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.