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Finding the Fourth Proportional to 470,113.62, 648,747.01 and 255,253.87

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Solution

The fourth proportional to 470,113.62, 648,747.01 and 255,253.87 is: 352,245.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,113.62 : 648,747.01 = 255,253.87 : x
  2. Step 2: Convert to fraction form
    470,113.62/648,747.01 = 255,253.87/x
  3. Step 3: Cross multiply
    470,113.62x = 648,747.01 × 255,253.87
  4. Step 4: Simplify right side
    470,113.62x = 165,595,184,953.43
  5. Step 5: Solve for x
    x = 165,595,184,953.43/470,113.62
  6. Step 6: Final answer
    x = 352,245.03

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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.