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Finding the Fourth Proportional to 304,402.76, 456,534.83 and 114,883.21

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Solution

The fourth proportional to 304,402.76, 456,534.83 and 114,883.21 is: 172,298.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,402.76 : 456,534.83 = 114,883.21 : x
  2. Step 2: Convert to fraction form
    304,402.76/456,534.83 = 114,883.21/x
  3. Step 3: Cross multiply
    304,402.76x = 456,534.83 × 114,883.21
  4. Step 4: Simplify right side
    304,402.76x = 52,448,187,605.08
  5. Step 5: Solve for x
    x = 52,448,187,605.08/304,402.76
  6. Step 6: Final answer
    x = 172,298.66

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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.