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Finding the Fourth Proportional to 296,784.53, 409,582.74 and 167,678.22

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Solution

The fourth proportional to 296,784.53, 409,582.74 and 167,678.22 is: 231,407.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,784.53 : 409,582.74 = 167,678.22 : x
  2. Step 2: Convert to fraction form
    296,784.53/409,582.74 = 167,678.22/x
  3. Step 3: Cross multiply
    296,784.53x = 409,582.74 × 167,678.22
  4. Step 4: Simplify right side
    296,784.53x = 68,678,104,785.92
  5. Step 5: Solve for x
    x = 68,678,104,785.92/296,784.53
  6. Step 6: Final answer
    x = 231,407.29

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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.