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Finding the Fourth Proportional to 551,664.66, 827,495.78 and 146,856.98

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Solution

The fourth proportional to 551,664.66, 827,495.78 and 146,856.98 is: 220,285.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,664.66 : 827,495.78 = 146,856.98 : x
  2. Step 2: Convert to fraction form
    551,664.66/827,495.78 = 146,856.98/x
  3. Step 3: Cross multiply
    551,664.66x = 827,495.78 × 146,856.98
  4. Step 4: Simplify right side
    551,664.66x = 121,523,526,341.78
  5. Step 5: Solve for x
    x = 121,523,526,341.78/551,664.66
  6. Step 6: Final answer
    x = 220,285.14

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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.