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Finding the Fourth Proportional to 565,676.38, 780,646.76 and 307,568.08

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Solution

The fourth proportional to 565,676.38, 780,646.76 and 307,568.08 is: 424,451.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,676.38 : 780,646.76 = 307,568.08 : x
  2. Step 2: Convert to fraction form
    565,676.38/780,646.76 = 307,568.08/x
  3. Step 3: Cross multiply
    565,676.38x = 780,646.76 × 307,568.08
  4. Step 4: Simplify right side
    565,676.38x = 240,102,025,131.42
  5. Step 5: Solve for x
    x = 240,102,025,131.42/565,676.38
  6. Step 6: Final answer
    x = 424,451.21

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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.