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Finding the Fourth Proportional to 565,438.34, 780,294.84 and 310,789.46

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Solution

The fourth proportional to 565,438.34, 780,294.84 and 310,789.46 is: 428,883.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,438.34 : 780,294.84 = 310,789.46 : x
  2. Step 2: Convert to fraction form
    565,438.34/780,294.84 = 310,789.46/x
  3. Step 3: Cross multiply
    565,438.34x = 780,294.84 × 310,789.46
  4. Step 4: Simplify right side
    565,438.34x = 242,507,411,964.39
  5. Step 5: Solve for x
    x = 242,507,411,964.39/565,438.34
  6. Step 6: Final answer
    x = 428,883.92

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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.