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Finding the Fourth Proportional to 704,209.52, 971,720.02 and 417,673.64

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Solution

The fourth proportional to 704,209.52, 971,720.02 and 417,673.64 is: 576,336.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,209.52 : 971,720.02 = 417,673.64 : x
  2. Step 2: Convert to fraction form
    704,209.52/971,720.02 = 417,673.64/x
  3. Step 3: Cross multiply
    704,209.52x = 971,720.02 × 417,673.64
  4. Step 4: Simplify right side
    704,209.52x = 405,861,837,814.27
  5. Step 5: Solve for x
    x = 405,861,837,814.27/704,209.52
  6. Step 6: Final answer
    x = 576,336.77

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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.