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Finding the Fourth Proportional to 551,616.47, 827,362.74 and 152,314.01

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Solution

The fourth proportional to 551,616.47, 827,362.74 and 152,314.01 is: 228,453.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,616.47 : 827,362.74 = 152,314.01 : x
  2. Step 2: Convert to fraction form
    551,616.47/827,362.74 = 152,314.01/x
  3. Step 3: Cross multiply
    551,616.47x = 827,362.74 × 152,314.01
  4. Step 4: Simplify right side
    551,616.47x = 126,018,936,653.99
  5. Step 5: Solve for x
    x = 126,018,936,653.99/551,616.47
  6. Step 6: Final answer
    x = 228,453.91

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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.