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Finding the Fourth Proportional to 768,393.84, 1,060,382.88 and 424,230.24

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Solution

The fourth proportional to 768,393.84, 1,060,382.88 and 424,230.24 is: 585,437.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,393.84 : 1,060,382.88 = 424,230.24 : x
  2. Step 2: Convert to fraction form
    768,393.84/1,060,382.88 = 424,230.24/x
  3. Step 3: Cross multiply
    768,393.84x = 1,060,382.88 × 424,230.24
  4. Step 4: Simplify right side
    768,393.84x = 449,846,483,674.29
  5. Step 5: Solve for x
    x = 449,846,483,674.29/768,393.84
  6. Step 6: Final answer
    x = 585,437.39

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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.