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Finding the Fourth Proportional to 704,212.68, 971,937.72 and 417,890.64

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Solution

The fourth proportional to 704,212.68, 971,937.72 and 417,890.64 is: 576,762.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,212.68 : 971,937.72 = 417,890.64 : x
  2. Step 2: Convert to fraction form
    704,212.68/971,937.72 = 417,890.64/x
  3. Step 3: Cross multiply
    704,212.68x = 971,937.72 × 417,890.64
  4. Step 4: Simplify right side
    704,212.68x = 406,163,675,850.94
  5. Step 5: Solve for x
    x = 406,163,675,850.94/704,212.68
  6. Step 6: Final answer
    x = 576,762.80

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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.