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Finding the Fourth Proportional to 289,247.84, 399,162.01 and 176,070.59

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Solution

The fourth proportional to 289,247.84, 399,162.01 and 176,070.59 is: 242,977.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,247.84 : 399,162.01 = 176,070.59 : x
  2. Step 2: Convert to fraction form
    289,247.84/399,162.01 = 176,070.59/x
  3. Step 3: Cross multiply
    289,247.84x = 399,162.01 × 176,070.59
  4. Step 4: Simplify right side
    289,247.84x = 70,280,689,617.44
  5. Step 5: Solve for x
    x = 70,280,689,617.44/289,247.84
  6. Step 6: Final answer
    x = 242,977.41

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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.