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Finding the Fourth Proportional to 470,278.62, 648,542.43 and 362,678.22

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Solution

The fourth proportional to 470,278.62, 648,542.43 and 362,678.22 is: 500,155.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,278.62 : 648,542.43 = 362,678.22 : x
  2. Step 2: Convert to fraction form
    470,278.62/648,542.43 = 362,678.22/x
  3. Step 3: Cross multiply
    470,278.62x = 648,542.43 × 362,678.22
  4. Step 4: Simplify right side
    470,278.62x = 235,212,214,106.88
  5. Step 5: Solve for x
    x = 235,212,214,106.88/470,278.62
  6. Step 6: Final answer
    x = 500,155.02

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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.