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Finding the Fourth Proportional to 338,662.29, 507,996.51 and 146,500.86

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Solution

The fourth proportional to 338,662.29, 507,996.51 and 146,500.86 is: 219,752.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,662.29 : 507,996.51 = 146,500.86 : x
  2. Step 2: Convert to fraction form
    338,662.29/507,996.51 = 146,500.86/x
  3. Step 3: Cross multiply
    338,662.29x = 507,996.51 × 146,500.86
  4. Step 4: Simplify right side
    338,662.29x = 74,421,925,592.00
  5. Step 5: Solve for x
    x = 74,421,925,592.00/338,662.29
  6. Step 6: Final answer
    x = 219,752.62

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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.