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Finding the Fourth Proportional to 706,160.40, 1,058,906.88 and 256,567.74

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Solution

The fourth proportional to 706,160.40, 1,058,906.88 and 256,567.74 is: 384,730.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,160.40 : 1,058,906.88 = 256,567.74 : x
  2. Step 2: Convert to fraction form
    706,160.40/1,058,906.88 = 256,567.74/x
  3. Step 3: Cross multiply
    706,160.40x = 1,058,906.88 × 256,567.74
  4. Step 4: Simplify right side
    706,160.40x = 271,681,345,072.05
  5. Step 5: Solve for x
    x = 271,681,345,072.05/706,160.40
  6. Step 6: Final answer
    x = 384,730.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.