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Finding the Fourth Proportional to 469,913.69, 648,463.52 and 255,049.16

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Solution

The fourth proportional to 469,913.69, 648,463.52 and 255,049.16 is: 351,958.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,913.69 : 648,463.52 = 255,049.16 : x
  2. Step 2: Convert to fraction form
    469,913.69/648,463.52 = 255,049.16/x
  3. Step 3: Cross multiply
    469,913.69x = 648,463.52 × 255,049.16
  4. Step 4: Simplify right side
    469,913.69x = 165,390,073,461.95
  5. Step 5: Solve for x
    x = 165,390,073,461.95/469,913.69
  6. Step 6: Final answer
    x = 351,958.40

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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.