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Finding the Fourth Proportional to 569,651.90, 786,104.07 and 314,994.38

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Solution

The fourth proportional to 569,651.90, 786,104.07 and 314,994.38 is: 434,683.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,651.90 : 786,104.07 = 314,994.38 : x
  2. Step 2: Convert to fraction form
    569,651.90/786,104.07 = 314,994.38/x
  3. Step 3: Cross multiply
    569,651.90x = 786,104.07 × 314,994.38
  4. Step 4: Simplify right side
    569,651.90x = 247,618,364,145.13
  5. Step 5: Solve for x
    x = 247,618,364,145.13/569,651.90
  6. Step 6: Final answer
    x = 434,683.64

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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.