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Finding the Fourth Proportional to 289,641.84, 399,630.69 and 174,829.74

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Solution

The fourth proportional to 289,641.84, 399,630.69 and 174,829.74 is: 241,219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,641.84 : 399,630.69 = 174,829.74 : x
  2. Step 2: Convert to fraction form
    289,641.84/399,630.69 = 174,829.74/x
  3. Step 3: Cross multiply
    289,641.84x = 399,630.69 × 174,829.74
  4. Step 4: Simplify right side
    289,641.84x = 69,867,329,628.72
  5. Step 5: Solve for x
    x = 69,867,329,628.72/289,641.84
  6. Step 6: Final answer
    x = 241,219.74

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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.