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Finding the Fourth Proportional to 413,598.87, 620,461.35 and 211,084.38

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Solution

The fourth proportional to 413,598.87, 620,461.35 and 211,084.38 is: 316,658.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,598.87 : 620,461.35 = 211,084.38 : x
  2. Step 2: Convert to fraction form
    413,598.87/620,461.35 = 211,084.38/x
  3. Step 3: Cross multiply
    413,598.87x = 620,461.35 × 211,084.38
  4. Step 4: Simplify right side
    413,598.87x = 130,969,699,378.71
  5. Step 5: Solve for x
    x = 130,969,699,378.71/413,598.87
  6. Step 6: Final answer
    x = 316,658.75

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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.