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Finding the Fourth Proportional to 304,590.24, 456,929.76 and 94,244.64

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Solution

The fourth proportional to 304,590.24, 456,929.76 and 94,244.64 is: 141,380.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,590.24 : 456,929.76 = 94,244.64 : x
  2. Step 2: Convert to fraction form
    304,590.24/456,929.76 = 94,244.64/x
  3. Step 3: Cross multiply
    304,590.24x = 456,929.76 × 94,244.64
  4. Step 4: Simplify right side
    304,590.24x = 43,063,180,736.49
  5. Step 5: Solve for x
    x = 43,063,180,736.49/304,590.24
  6. Step 6: Final answer
    x = 141,380.70

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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.