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Finding the Fourth Proportional to 551,011.60, 826,517.40 and 462,438.10

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Solution

The fourth proportional to 551,011.60, 826,517.40 and 462,438.10 is: 693,657.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,011.60 : 826,517.40 = 462,438.10 : x
  2. Step 2: Convert to fraction form
    551,011.60/826,517.40 = 462,438.10/x
  3. Step 3: Cross multiply
    551,011.60x = 826,517.40 × 462,438.10
  4. Step 4: Simplify right side
    551,011.60x = 382,213,136,072.94
  5. Step 5: Solve for x
    x = 382,213,136,072.94/551,011.60
  6. Step 6: Final answer
    x = 693,657.15

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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.