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Finding the Fourth Proportional to 706,909.28, 975,213.36 and 420,266.72

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Solution

The fourth proportional to 706,909.28, 975,213.36 and 420,266.72 is: 579,776.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,909.28 : 975,213.36 = 420,266.72 : x
  2. Step 2: Convert to fraction form
    706,909.28/975,213.36 = 420,266.72/x
  3. Step 3: Cross multiply
    706,909.28x = 975,213.36 × 420,266.72
  4. Step 4: Simplify right side
    706,909.28x = 409,849,720,107.38
  5. Step 5: Solve for x
    x = 409,849,720,107.38/706,909.28
  6. Step 6: Final answer
    x = 579,776.97

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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.