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Finding the Fourth Proportional to 704,318.84, 971,952.80 and 382,022

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Solution

The fourth proportional to 704,318.84, 971,952.80 and 382,022 is: 527,186.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,318.84 : 971,952.80 = 382,022 : x
  2. Step 2: Convert to fraction form
    704,318.84/971,952.80 = 382,022/x
  3. Step 3: Cross multiply
    704,318.84x = 971,952.80 × 382,022
  4. Step 4: Simplify right side
    704,318.84x = 371,307,352,561.60
  5. Step 5: Solve for x
    x = 371,307,352,561.60/704,318.84
  6. Step 6: Final answer
    x = 527,186.46

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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.