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Finding the Fourth Proportional to 565,812.84, 780,806.14 and 311,164

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Solution

The fourth proportional to 565,812.84, 780,806.14 and 311,164 is: 429,397.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,812.84 : 780,806.14 = 311,164 : x
  2. Step 2: Convert to fraction form
    565,812.84/780,806.14 = 311,164/x
  3. Step 3: Cross multiply
    565,812.84x = 780,806.14 × 311,164
  4. Step 4: Simplify right side
    565,812.84x = 242,958,761,746.96
  5. Step 5: Solve for x
    x = 242,958,761,746.96/565,812.84
  6. Step 6: Final answer
    x = 429,397.75

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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.