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Finding the Fourth Proportional to 433,087.08, 649,630.62 and 211,281

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Solution

The fourth proportional to 433,087.08, 649,630.62 and 211,281 is: 316,921.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,087.08 : 649,630.62 = 211,281 : x
  2. Step 2: Convert to fraction form
    433,087.08/649,630.62 = 211,281/x
  3. Step 3: Cross multiply
    433,087.08x = 649,630.62 × 211,281
  4. Step 4: Simplify right side
    433,087.08x = 137,254,607,024.22
  5. Step 5: Solve for x
    x = 137,254,607,024.22/433,087.08
  6. Step 6: Final answer
    x = 316,921.50

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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.