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Finding the Fourth Proportional to 706,755.84, 975,725.28 and 465,738.72

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Solution

The fourth proportional to 706,755.84, 975,725.28 and 465,738.72 is: 642,984.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,755.84 : 975,725.28 = 465,738.72 : x
  2. Step 2: Convert to fraction form
    706,755.84/975,725.28 = 465,738.72/x
  3. Step 3: Cross multiply
    706,755.84x = 975,725.28 × 465,738.72
  4. Step 4: Simplify right side
    706,755.84x = 454,433,042,978.84
  5. Step 5: Solve for x
    x = 454,433,042,978.84/706,755.84
  6. Step 6: Final answer
    x = 642,984.49

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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.