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Finding the Fourth Proportional to 768,753.64, 1,152,576.06 and 469,163.80

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Solution

The fourth proportional to 768,753.64, 1,152,576.06 and 469,163.80 is: 703,407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,753.64 : 1,152,576.06 = 469,163.80 : x
  2. Step 2: Convert to fraction form
    768,753.64/1,152,576.06 = 469,163.80/x
  3. Step 3: Cross multiply
    768,753.64x = 1,152,576.06 × 469,163.80
  4. Step 4: Simplify right side
    768,753.64x = 540,746,964,098.63
  5. Step 5: Solve for x
    x = 540,746,964,098.63/768,753.64
  6. Step 6: Final answer
    x = 703,407.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.