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Finding the Fourth Proportional to 565,814.84, 780,808.90 and 311,166

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Solution

The fourth proportional to 565,814.84, 780,808.90 and 311,166 is: 429,400.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,814.84 : 780,808.90 = 311,166 : x
  2. Step 2: Convert to fraction form
    565,814.84/780,808.90 = 311,166/x
  3. Step 3: Cross multiply
    565,814.84x = 780,808.90 × 311,166
  4. Step 4: Simplify right side
    565,814.84x = 242,961,182,177.40
  5. Step 5: Solve for x
    x = 242,961,182,177.40/565,814.84
  6. Step 6: Final answer
    x = 429,400.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.