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Finding the Fourth Proportional to 280,411.67, 420,603.54 and 102,904.73

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Solution

The fourth proportional to 280,411.67, 420,603.54 and 102,904.73 is: 154,351.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,411.67 : 420,603.54 = 102,904.73 : x
  2. Step 2: Convert to fraction form
    280,411.67/420,603.54 = 102,904.73/x
  3. Step 3: Cross multiply
    280,411.67x = 420,603.54 × 102,904.73
  4. Step 4: Simplify right side
    280,411.67x = 43,282,092,809.10
  5. Step 5: Solve for x
    x = 43,282,092,809.10/280,411.67
  6. Step 6: Final answer
    x = 154,351.97

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1.5x scale

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.