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Finding the Fourth Proportional to 470,442.80, 705,707.96 and 133,491.71

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Solution

The fourth proportional to 470,442.80, 705,707.96 and 133,491.71 is: 200,249.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,442.80 : 705,707.96 = 133,491.71 : x
  2. Step 2: Convert to fraction form
    470,442.80/705,707.96 = 133,491.71/x
  3. Step 3: Cross multiply
    470,442.80x = 705,707.96 × 133,491.71
  4. Step 4: Simplify right side
    470,442.80x = 94,206,163,437.82
  5. Step 5: Solve for x
    x = 94,206,163,437.82/470,442.80
  6. Step 6: Final answer
    x = 200,249.98

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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.