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Finding the Fourth Proportional to 565,644.35, 780,604.60 and 307,538.67

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Solution

The fourth proportional to 565,644.35, 780,604.60 and 307,538.67 is: 424,411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,644.35 : 780,604.60 = 307,538.67 : x
  2. Step 2: Convert to fraction form
    565,644.35/780,604.60 = 307,538.67/x
  3. Step 3: Cross multiply
    565,644.35x = 780,604.60 × 307,538.67
  4. Step 4: Simplify right side
    565,644.35x = 240,066,100,479.88
  5. Step 5: Solve for x
    x = 240,066,100,479.88/565,644.35
  6. Step 6: Final answer
    x = 424,411.74

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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.