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Finding the Fourth Proportional to 338,714.51, 507,628.89 and 138,800.84

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Solution

The fourth proportional to 338,714.51, 507,628.89 and 138,800.84 is: 208,019.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,714.51 : 507,628.89 = 138,800.84 : x
  2. Step 2: Convert to fraction form
    338,714.51/507,628.89 = 138,800.84/x
  3. Step 3: Cross multiply
    338,714.51x = 507,628.89 × 138,800.84
  4. Step 4: Simplify right side
    338,714.51x = 70,459,316,340.27
  5. Step 5: Solve for x
    x = 70,459,316,340.27/338,714.51
  6. Step 6: Final answer
    x = 208,019.78

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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.