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Finding the Fourth Proportional to 565,925.54, 780,942.47 and 324,152.69

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Solution

The fourth proportional to 565,925.54, 780,942.47 and 324,152.69 is: 447,310.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,925.54 : 780,942.47 = 324,152.69 : x
  2. Step 2: Convert to fraction form
    565,925.54/780,942.47 = 324,152.69/x
  3. Step 3: Cross multiply
    565,925.54x = 780,942.47 × 324,152.69
  4. Step 4: Simplify right side
    565,925.54x = 253,144,596,860.27
  5. Step 5: Solve for x
    x = 253,144,596,860.27/565,925.54
  6. Step 6: Final answer
    x = 447,310.79

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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.