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Finding the Fourth Proportional to 298,416.60, 447,624.90 and 120,929.40

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Solution

The fourth proportional to 298,416.60, 447,624.90 and 120,929.40 is: 181,394.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,416.60 : 447,624.90 = 120,929.40 : x
  2. Step 2: Convert to fraction form
    298,416.60/447,624.90 = 120,929.40/x
  3. Step 3: Cross multiply
    298,416.60x = 447,624.90 × 120,929.40
  4. Step 4: Simplify right side
    298,416.60x = 54,131,010,582.06
  5. Step 5: Solve for x
    x = 54,131,010,582.06/298,416.60
  6. Step 6: Final answer
    x = 181,394.10

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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.