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Finding the Fourth Proportional to 706,614.84, 975,141.02 and 384,331.96

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Solution

The fourth proportional to 706,614.84, 975,141.02 and 384,331.96 is: 530,384.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,614.84 : 975,141.02 = 384,331.96 : x
  2. Step 2: Convert to fraction form
    706,614.84/975,141.02 = 384,331.96/x
  3. Step 3: Cross multiply
    706,614.84x = 975,141.02 × 384,331.96
  4. Step 4: Simplify right side
    706,614.84x = 374,777,859,493.00
  5. Step 5: Solve for x
    x = 374,777,859,493.00/706,614.84
  6. Step 6: Final answer
    x = 530,384.93

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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.