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Finding the Fourth Proportional to 338,714.19, 467,432.00 and 185,742.67

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Solution

The fourth proportional to 338,714.19, 467,432.00 and 185,742.67 is: 256,328.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,714.19 : 467,432.00 = 185,742.67 : x
  2. Step 2: Convert to fraction form
    338,714.19/467,432.00 = 185,742.67/x
  3. Step 3: Cross multiply
    338,714.19x = 467,432.00 × 185,742.67
  4. Step 4: Simplify right side
    338,714.19x = 86,822,067,199.12
  5. Step 5: Solve for x
    x = 86,822,067,199.12/338,714.19
  6. Step 6: Final answer
    x = 256,328.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.