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Finding the Fourth Proportional to 565,816.84, 780,811.64 and 311,168

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Solution

The fourth proportional to 565,816.84, 780,811.64 and 311,168 is: 429,403.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,816.84 : 780,811.64 = 311,168 : x
  2. Step 2: Convert to fraction form
    565,816.84/780,811.64 = 311,168/x
  3. Step 3: Cross multiply
    565,816.84x = 780,811.64 × 311,168
  4. Step 4: Simplify right side
    565,816.84x = 242,963,596,395.52
  5. Step 5: Solve for x
    x = 242,963,596,395.52/565,816.84
  6. Step 6: Final answer
    x = 429,403.26

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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.