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Finding the Fourth Proportional to 703,456.70, 971,104.98 and 471,283.41

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Solution

The fourth proportional to 703,456.70, 971,104.98 and 471,283.41 is: 650,595.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,456.70 : 971,104.98 = 471,283.41 : x
  2. Step 2: Convert to fraction form
    703,456.70/971,104.98 = 471,283.41/x
  3. Step 3: Cross multiply
    703,456.70x = 971,104.98 × 471,283.41
  4. Step 4: Simplify right side
    703,456.70x = 457,665,666,442.38
  5. Step 5: Solve for x
    x = 457,665,666,442.38/703,456.70
  6. Step 6: Final answer
    x = 650,595.37

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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.