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Finding the Fourth Proportional to 522,834.24, 784,016.64 and 148,768.32

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Solution

The fourth proportional to 522,834.24, 784,016.64 and 148,768.32 is: 223,085.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,834.24 : 784,016.64 = 148,768.32 : x
  2. Step 2: Convert to fraction form
    522,834.24/784,016.64 = 148,768.32/x
  3. Step 3: Cross multiply
    522,834.24x = 784,016.64 × 148,768.32
  4. Step 4: Simplify right side
    522,834.24x = 116,636,838,384.85
  5. Step 5: Solve for x
    x = 116,636,838,384.85/522,834.24
  6. Step 6: Final answer
    x = 223,085.69

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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.