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Finding the Fourth Proportional to 469,476, 704,350.08 and 137,052

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Solution

The fourth proportional to 469,476, 704,350.08 and 137,052 is: 205,617.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,476 : 704,350.08 = 137,052 : x
  2. Step 2: Convert to fraction form
    469,476/704,350.08 = 137,052/x
  3. Step 3: Cross multiply
    469,476x = 704,350.08 × 137,052
  4. Step 4: Simplify right side
    469,476x = 96,532,587,164.16
  5. Step 5: Solve for x
    x = 96,532,587,164.16/469,476
  6. Step 6: Final answer
    x = 205,617.73

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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.