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Finding the Fourth Proportional to 304,506.42, 456,748.70 and 79,865.07

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Solution

The fourth proportional to 304,506.42, 456,748.70 and 79,865.07 is: 119,794.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,506.42 : 456,748.70 = 79,865.07 : x
  2. Step 2: Convert to fraction form
    304,506.42/456,748.70 = 79,865.07/x
  3. Step 3: Cross multiply
    304,506.42x = 456,748.70 × 79,865.07
  4. Step 4: Simplify right side
    304,506.42x = 36,478,266,498.58
  5. Step 5: Solve for x
    x = 36,478,266,498.58/304,506.42
  6. Step 6: Final answer
    x = 119,794.74

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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.