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Finding the Fourth Proportional to 433,411.58, 649,236.08 and 353,733.50

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Solution

The fourth proportional to 433,411.58, 649,236.08 and 353,733.50 is: 529,880.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,411.58 : 649,236.08 = 353,733.50 : x
  2. Step 2: Convert to fraction form
    433,411.58/649,236.08 = 353,733.50/x
  3. Step 3: Cross multiply
    433,411.58x = 649,236.08 × 353,733.50
  4. Step 4: Simplify right side
    433,411.58x = 229,656,550,904.68
  5. Step 5: Solve for x
    x = 229,656,550,904.68/433,411.58
  6. Step 6: Final answer
    x = 529,880.98

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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.