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Finding the Fourth Proportional to 470,594.56, 705,398.40 and 230,377.21

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Solution

The fourth proportional to 470,594.56, 705,398.40 and 230,377.21 is: 345,324.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,594.56 : 705,398.40 = 230,377.21 : x
  2. Step 2: Convert to fraction form
    470,594.56/705,398.40 = 230,377.21/x
  3. Step 3: Cross multiply
    470,594.56x = 705,398.40 × 230,377.21
  4. Step 4: Simplify right side
    470,594.56x = 162,507,716,886.90
  5. Step 5: Solve for x
    x = 162,507,716,886.90/470,594.56
  6. Step 6: Final answer
    x = 345,324.26

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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.