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Finding the Fourth Proportional to 470,510.11, 705,780.51 and 223,980.22

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Solution

The fourth proportional to 470,510.11, 705,780.51 and 223,980.22 is: 335,977.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,510.11 : 705,780.51 = 223,980.22 : x
  2. Step 2: Convert to fraction form
    470,510.11/705,780.51 = 223,980.22/x
  3. Step 3: Cross multiply
    470,510.11x = 705,780.51 × 223,980.22
  4. Step 4: Simplify right side
    470,510.11x = 158,080,870,372.61
  5. Step 5: Solve for x
    x = 158,080,870,372.61/470,510.11
  6. Step 6: Final answer
    x = 335,977.63

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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.