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Finding the Fourth Proportional to 462,001.60, 693,439.80 and 395,516.80

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Solution

The fourth proportional to 462,001.60, 693,439.80 and 395,516.80 is: 593,649.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,001.60 : 693,439.80 = 395,516.80 : x
  2. Step 2: Convert to fraction form
    462,001.60/693,439.80 = 395,516.80/x
  3. Step 3: Cross multiply
    462,001.60x = 693,439.80 × 395,516.80
  4. Step 4: Simplify right side
    462,001.60x = 274,267,090,688.64
  5. Step 5: Solve for x
    x = 274,267,090,688.64/462,001.60
  6. Step 6: Final answer
    x = 593,649.66

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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.