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Finding the Fourth Proportional to 708,852.84, 978,402.96 and 403,107.90

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Solution

The fourth proportional to 708,852.84, 978,402.96 and 403,107.90 is: 556,394.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,852.84 : 978,402.96 = 403,107.90 : x
  2. Step 2: Convert to fraction form
    708,852.84/978,402.96 = 403,107.90/x
  3. Step 3: Cross multiply
    708,852.84x = 978,402.96 × 403,107.90
  4. Step 4: Simplify right side
    708,852.84x = 394,401,962,559.38
  5. Step 5: Solve for x
    x = 394,401,962,559.38/708,852.84
  6. Step 6: Final answer
    x = 556,394.70

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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.