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Finding the Fourth Proportional to 708,833.04, 978,167.94 and 402,942.84

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Solution

The fourth proportional to 708,833.04, 978,167.94 and 402,942.84 is: 556,048.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,833.04 : 978,167.94 = 402,942.84 : x
  2. Step 2: Convert to fraction form
    708,833.04/978,167.94 = 402,942.84/x
  3. Step 3: Cross multiply
    708,833.04x = 978,167.94 × 402,942.84
  4. Step 4: Simplify right side
    708,833.04x = 394,145,767,740.55
  5. Step 5: Solve for x
    x = 394,145,767,740.55/708,833.04
  6. Step 6: Final answer
    x = 556,048.81

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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.