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Finding the Fourth Proportional to 704,006.64, 971,536.68 and 413,630.15

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Solution

The fourth proportional to 704,006.64, 971,536.68 and 413,630.15 is: 570,814.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,006.64 : 971,536.68 = 413,630.15 : x
  2. Step 2: Convert to fraction form
    704,006.64/971,536.68 = 413,630.15/x
  3. Step 3: Cross multiply
    704,006.64x = 971,536.68 × 413,630.15
  4. Step 4: Simplify right side
    704,006.64x = 401,856,857,821.22
  5. Step 5: Solve for x
    x = 401,856,857,821.22/704,006.64
  6. Step 6: Final answer
    x = 570,814.02

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