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Finding the Fourth Proportional to 403,218.60, 603,953.10 and 333,234.60

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Solution

The fourth proportional to 403,218.60, 603,953.10 and 333,234.60 is: 499,128.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,218.60 : 603,953.10 = 333,234.60 : x
  2. Step 2: Convert to fraction form
    403,218.60/603,953.10 = 333,234.60/x
  3. Step 3: Cross multiply
    403,218.60x = 603,953.10 × 333,234.60
  4. Step 4: Simplify right side
    403,218.60x = 201,258,069,697.26
  5. Step 5: Solve for x
    x = 201,258,069,697.26/403,218.60
  6. Step 6: Final answer
    x = 499,128.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.