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Finding the Fourth Proportional to 551,730.47, 827,606.10 and 152,381.84

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Solution

The fourth proportional to 551,730.47, 827,606.10 and 152,381.84 is: 228,575.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,730.47 : 827,606.10 = 152,381.84 : x
  2. Step 2: Convert to fraction form
    551,730.47/827,606.10 = 152,381.84/x
  3. Step 3: Cross multiply
    551,730.47x = 827,606.10 × 152,381.84
  4. Step 4: Simplify right side
    551,730.47x = 126,112,136,175.19
  5. Step 5: Solve for x
    x = 126,112,136,175.19/551,730.47
  6. Step 6: Final answer
    x = 228,575.63

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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.