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Finding the Fourth Proportional to 433,411.08, 649,235.34 and 353,733

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Solution

The fourth proportional to 433,411.08, 649,235.34 and 353,733 is: 529,880.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,411.08 : 649,235.34 = 353,733 : x
  2. Step 2: Convert to fraction form
    433,411.08/649,235.34 = 353,733/x
  3. Step 3: Cross multiply
    433,411.08x = 649,235.34 × 353,733
  4. Step 4: Simplify right side
    433,411.08x = 229,655,964,524.22
  5. Step 5: Solve for x
    x = 229,655,964,524.22/433,411.08
  6. Step 6: Final answer
    x = 529,880.23

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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.