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Finding the Fourth Proportional to 468,529.64, 702,925.68 and 188,243.72

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Solution

The fourth proportional to 468,529.64, 702,925.68 and 188,243.72 is: 282,418.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,529.64 : 702,925.68 = 188,243.72 : x
  2. Step 2: Convert to fraction form
    468,529.64/702,925.68 = 188,243.72/x
  3. Step 3: Cross multiply
    468,529.64x = 702,925.68 × 188,243.72
  4. Step 4: Simplify right side
    468,529.64x = 132,321,344,886.73
  5. Step 5: Solve for x
    x = 132,321,344,886.73/468,529.64
  6. Step 6: Final answer
    x = 282,418.30

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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.