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Finding the Fourth Proportional to 565,614.72, 780,528.24 and 310,963.92

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Solution

The fourth proportional to 565,614.72, 780,528.24 and 310,963.92 is: 429,119.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,614.72 : 780,528.24 = 310,963.92 : x
  2. Step 2: Convert to fraction form
    565,614.72/780,528.24 = 310,963.92/x
  3. Step 3: Cross multiply
    565,614.72x = 780,528.24 × 310,963.92
  4. Step 4: Simplify right side
    565,614.72x = 242,716,121,181.10
  5. Step 5: Solve for x
    x = 242,716,121,181.10/565,614.72
  6. Step 6: Final answer
    x = 429,119.17

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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.