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Finding the Fourth Proportional to 565,675.38, 780,645.38 and 307,567.08

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Solution

The fourth proportional to 565,675.38, 780,645.38 and 307,567.08 is: 424,449.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,675.38 : 780,645.38 = 307,567.08 : x
  2. Step 2: Convert to fraction form
    565,675.38/780,645.38 = 307,567.08/x
  3. Step 3: Cross multiply
    565,675.38x = 780,645.38 × 307,567.08
  4. Step 4: Simplify right side
    565,675.38x = 240,100,818,504.26
  5. Step 5: Solve for x
    x = 240,100,818,504.26/565,675.38
  6. Step 6: Final answer
    x = 424,449.83

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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.