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Finding the Fourth Proportional to 588,977.72, 811,818.78 and 416,673.08

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Solution

The fourth proportional to 588,977.72, 811,818.78 and 416,673.08 is: 574,322.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,977.72 : 811,818.78 = 416,673.08 : x
  2. Step 2: Convert to fraction form
    588,977.72/811,818.78 = 416,673.08/x
  3. Step 3: Cross multiply
    588,977.72x = 811,818.78 × 416,673.08
  4. Step 4: Simplify right side
    588,977.72x = 338,263,031,464.44
  5. Step 5: Solve for x
    x = 338,263,031,464.44/588,977.72
  6. Step 6: Final answer
    x = 574,322.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.