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Finding the Fourth Proportional to 383,582.70, 529,570.94 and 341,023.46

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Solution

The fourth proportional to 383,582.70, 529,570.94 and 341,023.46 is: 470,814.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,582.70 : 529,570.94 = 341,023.46 : x
  2. Step 2: Convert to fraction form
    383,582.70/529,570.94 = 341,023.46/x
  3. Step 3: Cross multiply
    383,582.70x = 529,570.94 × 341,023.46
  4. Step 4: Simplify right side
    383,582.70x = 180,596,109,921.28
  5. Step 5: Solve for x
    x = 180,596,109,921.28/383,582.70
  6. Step 6: Final answer
    x = 470,814.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.