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Finding the Fourth Proportional to 296,398.60, 444,271.68 and 146,416.84

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Solution

The fourth proportional to 296,398.60, 444,271.68 and 146,416.84 is: 219,464.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,398.60 : 444,271.68 = 146,416.84 : x
  2. Step 2: Convert to fraction form
    296,398.60/444,271.68 = 146,416.84/x
  3. Step 3: Cross multiply
    296,398.60x = 444,271.68 × 146,416.84
  4. Step 4: Simplify right side
    296,398.60x = 65,048,855,487.09
  5. Step 5: Solve for x
    x = 65,048,855,487.09/296,398.60
  6. Step 6: Final answer
    x = 219,464.11

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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.