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Finding the Fourth Proportional to 362,103.08, 499,762.32 and 211,200.08

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Solution

The fourth proportional to 362,103.08, 499,762.32 and 211,200.08 is: 291,491.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,103.08 : 499,762.32 = 211,200.08 : x
  2. Step 2: Convert to fraction form
    362,103.08/499,762.32 = 211,200.08/x
  3. Step 3: Cross multiply
    362,103.08x = 499,762.32 × 211,200.08
  4. Step 4: Simplify right side
    362,103.08x = 105,549,841,964.99
  5. Step 5: Solve for x
    x = 105,549,841,964.99/362,103.08
  6. Step 6: Final answer
    x = 291,491.15

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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.