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Finding the Fourth Proportional to 663,884.69, 994,145.44 and 411,657.81

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Solution

The fourth proportional to 663,884.69, 994,145.44 and 411,657.81 is: 616,444.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,884.69 : 994,145.44 = 411,657.81 : x
  2. Step 2: Convert to fraction form
    663,884.69/994,145.44 = 411,657.81/x
  3. Step 3: Cross multiply
    663,884.69x = 994,145.44 × 411,657.81
  4. Step 4: Simplify right side
    663,884.69x = 409,247,740,381.78
  5. Step 5: Solve for x
    x = 409,247,740,381.78/663,884.69
  6. Step 6: Final answer
    x = 616,444.01

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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.