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Finding the Fourth Proportional to 432,584.40, 648,500.76 and 207,832.08

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Solution

The fourth proportional to 432,584.40, 648,500.76 and 207,832.08 is: 311,567.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,584.40 : 648,500.76 = 207,832.08 : x
  2. Step 2: Convert to fraction form
    432,584.40/648,500.76 = 207,832.08/x
  3. Step 3: Cross multiply
    432,584.40x = 648,500.76 × 207,832.08
  4. Step 4: Simplify right side
    432,584.40x = 134,779,261,832.38
  5. Step 5: Solve for x
    x = 134,779,261,832.38/432,584.40
  6. Step 6: Final answer
    x = 311,567.55

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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.