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Finding the Fourth Proportional to 569,741.98, 786,212.13 and 311,567.98

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Solution

The fourth proportional to 569,741.98, 786,212.13 and 311,567.98 is: 429,946.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,741.98 : 786,212.13 = 311,567.98 : x
  2. Step 2: Convert to fraction form
    569,741.98/786,212.13 = 311,567.98/x
  3. Step 3: Cross multiply
    569,741.98x = 786,212.13 × 311,567.98
  4. Step 4: Simplify right side
    569,741.98x = 244,958,524,120.03
  5. Step 5: Solve for x
    x = 244,958,524,120.03/569,741.98
  6. Step 6: Final answer
    x = 429,946.42

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1.5x scale

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.