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Finding the Fourth Proportional to 704,684.41, 972,467.10 and 382,394.59

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Solution

The fourth proportional to 704,684.41, 972,467.10 and 382,394.59 is: 527,705.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,684.41 : 972,467.10 = 382,394.59 : x
  2. Step 2: Convert to fraction form
    704,684.41/972,467.10 = 382,394.59/x
  3. Step 3: Cross multiply
    704,684.41x = 972,467.10 × 382,394.59
  4. Step 4: Simplify right side
    704,684.41x = 371,866,155,561.82
  5. Step 5: Solve for x
    x = 371,866,155,561.82/704,684.41
  6. Step 6: Final answer
    x = 527,705.95

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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.