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Finding the Fourth Proportional to 338,174.42, 507,448.32 and 188,498.96

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Solution

The fourth proportional to 338,174.42, 507,448.32 and 188,498.96 is: 282,852.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,174.42 : 507,448.32 = 188,498.96 : x
  2. Step 2: Convert to fraction form
    338,174.42/507,448.32 = 188,498.96/x
  3. Step 3: Cross multiply
    338,174.42x = 507,448.32 × 188,498.96
  4. Step 4: Simplify right side
    338,174.42x = 95,653,480,573.75
  5. Step 5: Solve for x
    x = 95,653,480,573.75/338,174.42
  6. Step 6: Final answer
    x = 282,852.50

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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.