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Finding the Fourth Proportional to 706,532.82, 974,513.94 and 434,243.22

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Solution

The fourth proportional to 706,532.82, 974,513.94 and 434,243.22 is: 598,947.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,532.82 : 974,513.94 = 434,243.22 : x
  2. Step 2: Convert to fraction form
    706,532.82/974,513.94 = 434,243.22/x
  3. Step 3: Cross multiply
    706,532.82x = 974,513.94 × 434,243.22
  4. Step 4: Simplify right side
    706,532.82x = 423,176,071,240.49
  5. Step 5: Solve for x
    x = 423,176,071,240.49/706,532.82
  6. Step 6: Final answer
    x = 598,947.51

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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.