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Finding the Fourth Proportional to 565,584.10, 780,486.15 and 310,933.42

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Solution

The fourth proportional to 565,584.10, 780,486.15 and 310,933.42 is: 429,077.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,584.10 : 780,486.15 = 310,933.42 : x
  2. Step 2: Convert to fraction form
    565,584.10/780,486.15 = 310,933.42/x
  3. Step 3: Cross multiply
    565,584.10x = 780,486.15 × 310,933.42
  4. Step 4: Simplify right side
    565,584.10x = 242,679,227,882.13
  5. Step 5: Solve for x
    x = 242,679,227,882.13/565,584.10
  6. Step 6: Final answer
    x = 429,077.18

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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.