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Finding the Fourth Proportional to 768,415.71, 1,060,315.88 and 428,898.27

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Solution

The fourth proportional to 768,415.71, 1,060,315.88 and 428,898.27 is: 591,825.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,415.71 : 1,060,315.88 = 428,898.27 : x
  2. Step 2: Convert to fraction form
    768,415.71/1,060,315.88 = 428,898.27/x
  3. Step 3: Cross multiply
    768,415.71x = 1,060,315.88 × 428,898.27
  4. Step 4: Simplify right side
    768,415.71x = 454,767,644,441.04
  5. Step 5: Solve for x
    x = 454,767,644,441.04/768,415.71
  6. Step 6: Final answer
    x = 591,825.02

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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.