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Finding the Fourth Proportional to 309,424.75, 427,006.16 and 175,288.75

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Solution

The fourth proportional to 309,424.75, 427,006.16 and 175,288.75 is: 241,898.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,424.75 : 427,006.16 = 175,288.75 : x
  2. Step 2: Convert to fraction form
    309,424.75/427,006.16 = 175,288.75/x
  3. Step 3: Cross multiply
    309,424.75x = 427,006.16 × 175,288.75
  4. Step 4: Simplify right side
    309,424.75x = 74,849,376,028.70
  5. Step 5: Solve for x
    x = 74,849,376,028.70/309,424.75
  6. Step 6: Final answer
    x = 241,898.48

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1.5x scale

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.