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Finding the Fourth Proportional to 477,833.04, 659,135.34 and 298,674

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Solution

The fourth proportional to 477,833.04, 659,135.34 and 298,674 is: 411,998.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,833.04 : 659,135.34 = 298,674 : x
  2. Step 2: Convert to fraction form
    477,833.04/659,135.34 = 298,674/x
  3. Step 3: Cross multiply
    477,833.04x = 659,135.34 × 298,674
  4. Step 4: Simplify right side
    477,833.04x = 196,866,588,539.16
  5. Step 5: Solve for x
    x = 196,866,588,539.16/477,833.04
  6. Step 6: Final answer
    x = 411,998.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.