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Finding the Fourth Proportional to 663,885.07, 994,146.01 and 411,658.19

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Solution

The fourth proportional to 663,885.07, 994,146.01 and 411,658.19 is: 616,444.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,885.07 : 994,146.01 = 411,658.19 : x
  2. Step 2: Convert to fraction form
    663,885.07/994,146.01 = 411,658.19/x
  3. Step 3: Cross multiply
    663,885.07x = 994,146.01 × 411,658.19
  4. Step 4: Simplify right side
    663,885.07x = 409,248,344,028.64
  5. Step 5: Solve for x
    x = 409,248,344,028.64/663,885.07
  6. Step 6: Final answer
    x = 616,444.57

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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.