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Finding the Fourth Proportional to 512,973.08, 707,535.64 and 360,045.38

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Solution

The fourth proportional to 512,973.08, 707,535.64 and 360,045.38 is: 496,604.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,973.08 : 707,535.64 = 360,045.38 : x
  2. Step 2: Convert to fraction form
    512,973.08/707,535.64 = 360,045.38/x
  3. Step 3: Cross multiply
    512,973.08x = 707,535.64 × 360,045.38
  4. Step 4: Simplify right side
    512,973.08x = 254,744,938,367.34
  5. Step 5: Solve for x
    x = 254,744,938,367.34/512,973.08
  6. Step 6: Final answer
    x = 496,604.89

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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.