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Finding the Fourth Proportional to 301,098.28, 414,472.71 and 260,243.77

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Solution

The fourth proportional to 301,098.28, 414,472.71 and 260,243.77 is: 358,234.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,098.28 : 414,472.71 = 260,243.77 : x
  2. Step 2: Convert to fraction form
    301,098.28/414,472.71 = 260,243.77/x
  3. Step 3: Cross multiply
    301,098.28x = 414,472.71 × 260,243.77
  4. Step 4: Simplify right side
    301,098.28x = 107,863,940,612.52
  5. Step 5: Solve for x
    x = 107,863,940,612.52/301,098.28
  6. Step 6: Final answer
    x = 358,234.99

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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.