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Finding the Fourth Proportional to 369,969.94, 510,562.16 and 200,207.71

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Solution

The fourth proportional to 369,969.94, 510,562.16 and 200,207.71 is: 276,288.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,969.94 : 510,562.16 = 200,207.71 : x
  2. Step 2: Convert to fraction form
    369,969.94/510,562.16 = 200,207.71/x
  3. Step 3: Cross multiply
    369,969.94x = 510,562.16 × 200,207.71
  4. Step 4: Simplify right side
    369,969.94x = 102,218,480,866.25
  5. Step 5: Solve for x
    x = 102,218,480,866.25/369,969.94
  6. Step 6: Final answer
    x = 276,288.61

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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.