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Finding the Fourth Proportional to 329,645.68, 454,911.60 and 178,742.68

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Solution

The fourth proportional to 329,645.68, 454,911.60 and 178,742.68 is: 246,665.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,645.68 : 454,911.60 = 178,742.68 : x
  2. Step 2: Convert to fraction form
    329,645.68/454,911.60 = 178,742.68/x
  3. Step 3: Cross multiply
    329,645.68x = 454,911.60 × 178,742.68
  4. Step 4: Simplify right side
    329,645.68x = 81,312,118,547.09
  5. Step 5: Solve for x
    x = 81,312,118,547.09/329,645.68
  6. Step 6: Final answer
    x = 246,665.20

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Why These Related Problems?

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