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Finding the Fourth Proportional to 470,514.61, 649,313.07 and 255,655.27

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Solution

The fourth proportional to 470,514.61, 649,313.07 and 255,655.27 is: 352,805.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,514.61 : 649,313.07 = 255,655.27 : x
  2. Step 2: Convert to fraction form
    470,514.61/649,313.07 = 255,655.27/x
  3. Step 3: Cross multiply
    470,514.61x = 649,313.07 × 255,655.27
  4. Step 4: Simplify right side
    470,514.61x = 166,000,306,947.10
  5. Step 5: Solve for x
    x = 166,000,306,947.10/470,514.61
  6. Step 6: Final answer
    x = 352,805.85

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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.