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Finding the Fourth Proportional to 512,973.58, 707,536.33 and 360,045.88

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Solution

The fourth proportional to 512,973.58, 707,536.33 and 360,045.88 is: 496,605.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,973.58 : 707,536.33 = 360,045.88 : x
  2. Step 2: Convert to fraction form
    512,973.58/707,536.33 = 360,045.88/x
  3. Step 3: Cross multiply
    512,973.58x = 707,536.33 × 360,045.88
  4. Step 4: Simplify right side
    512,973.58x = 254,745,540,566.82
  5. Step 5: Solve for x
    x = 254,745,540,566.82/512,973.58
  6. Step 6: Final answer
    x = 496,605.58

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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.