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Finding the Fourth Proportional to 470,063.76, 704,613 and 185,639.04

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Solution

The fourth proportional to 470,063.76, 704,613 and 185,639.04 is: 278,267.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,063.76 : 704,613 = 185,639.04 : x
  2. Step 2: Convert to fraction form
    470,063.76/704,613 = 185,639.04/x
  3. Step 3: Cross multiply
    470,063.76x = 704,613 × 185,639.04
  4. Step 4: Simplify right side
    470,063.76x = 130,803,680,891.52
  5. Step 5: Solve for x
    x = 130,803,680,891.52/470,063.76
  6. Step 6: Final answer
    x = 278,267.95

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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.