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Finding the Fourth Proportional to 565,561.80, 780,455.46 and 310,911.15

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Solution

The fourth proportional to 565,561.80, 780,455.46 and 310,911.15 is: 429,046.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,561.80 : 780,455.46 = 310,911.15 : x
  2. Step 2: Convert to fraction form
    565,561.80/780,455.46 = 310,911.15/x
  3. Step 3: Cross multiply
    565,561.80x = 780,455.46 × 310,911.15
  4. Step 4: Simplify right side
    565,561.80x = 242,652,304,592.38
  5. Step 5: Solve for x
    x = 242,652,304,592.38/565,561.80
  6. Step 6: Final answer
    x = 429,046.49

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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.