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Finding the Fourth Proportional to 704,729.94, 972,534.46 and 382,442.82

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Solution

The fourth proportional to 704,729.94, 972,534.46 and 382,442.82 is: 527,774.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,729.94 : 972,534.46 = 382,442.82 : x
  2. Step 2: Convert to fraction form
    704,729.94/972,534.46 = 382,442.82/x
  3. Step 3: Cross multiply
    704,729.94x = 972,534.46 × 382,442.82
  4. Step 4: Simplify right side
    704,729.94x = 371,938,821,429.58
  5. Step 5: Solve for x
    x = 371,938,821,429.58/704,729.94
  6. Step 6: Final answer
    x = 527,774.97

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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.