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Finding the Fourth Proportional to 304,209.40, 456,345.40 and 114,829.28

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Solution

The fourth proportional to 304,209.40, 456,345.40 and 114,829.28 is: 172,255.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,209.40 : 456,345.40 = 114,829.28 : x
  2. Step 2: Convert to fraction form
    304,209.40/456,345.40 = 114,829.28/x
  3. Step 3: Cross multiply
    304,209.40x = 456,345.40 × 114,829.28
  4. Step 4: Simplify right side
    304,209.40x = 52,401,813,713.31
  5. Step 5: Solve for x
    x = 52,401,813,713.31/304,209.40
  6. Step 6: Final answer
    x = 172,255.73

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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.