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Finding the Fourth Proportional to 207,460.40, 310,499.40 and 182,577.20

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Solution

The fourth proportional to 207,460.40, 310,499.40 and 182,577.20 is: 273,257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,460.40 : 310,499.40 = 182,577.20 : x
  2. Step 2: Convert to fraction form
    207,460.40/310,499.40 = 182,577.20/x
  3. Step 3: Cross multiply
    207,460.40x = 310,499.40 × 182,577.20
  4. Step 4: Simplify right side
    207,460.40x = 56,690,111,053.68
  5. Step 5: Solve for x
    x = 56,690,111,053.68/207,460.40
  6. Step 6: Final answer
    x = 273,257.50

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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.