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Finding the Fourth Proportional to 704,208.52, 971,718.64 and 417,672.64

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Solution

The fourth proportional to 704,208.52, 971,718.64 and 417,672.64 is: 576,335.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,208.52 : 971,718.64 = 417,672.64 : x
  2. Step 2: Convert to fraction form
    704,208.52/971,718.64 = 417,672.64/x
  3. Step 3: Cross multiply
    704,208.52x = 971,718.64 × 417,672.64
  4. Step 4: Simplify right side
    704,208.52x = 405,860,289,876.48
  5. Step 5: Solve for x
    x = 405,860,289,876.48/704,208.52
  6. Step 6: Final answer
    x = 576,335.39

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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.