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Finding the Fourth Proportional to 321,547.86, 443,746.62 and 178,321.50

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Solution

The fourth proportional to 321,547.86, 443,746.62 and 178,321.50 is: 246,089.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,547.86 : 443,746.62 = 178,321.50 : x
  2. Step 2: Convert to fraction form
    321,547.86/443,746.62 = 178,321.50/x
  3. Step 3: Cross multiply
    321,547.86x = 443,746.62 × 178,321.50
  4. Step 4: Simplify right side
    321,547.86x = 79,129,562,898.33
  5. Step 5: Solve for x
    x = 79,129,562,898.33/321,547.86
  6. Step 6: Final answer
    x = 246,089.53

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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.