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Finding the Fourth Proportional to 464,218.08, 696,288.24 and 183,660

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Solution

The fourth proportional to 464,218.08, 696,288.24 and 183,660 is: 275,474.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,218.08 : 696,288.24 = 183,660 : x
  2. Step 2: Convert to fraction form
    464,218.08/696,288.24 = 183,660/x
  3. Step 3: Cross multiply
    464,218.08x = 696,288.24 × 183,660
  4. Step 4: Simplify right side
    464,218.08x = 127,880,298,158.40
  5. Step 5: Solve for x
    x = 127,880,298,158.40/464,218.08
  6. Step 6: Final answer
    x = 275,474.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.