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Finding the Fourth Proportional to 470,465.56, 706,053.24 and 217,923.24

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Solution

The fourth proportional to 470,465.56, 706,053.24 and 217,923.24 is: 327,049.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,465.56 : 706,053.24 = 217,923.24 : x
  2. Step 2: Convert to fraction form
    470,465.56/706,053.24 = 217,923.24/x
  3. Step 3: Cross multiply
    470,465.56x = 706,053.24 × 217,923.24
  4. Step 4: Simplify right side
    470,465.56x = 153,865,407,283.04
  5. Step 5: Solve for x
    x = 153,865,407,283.04/470,465.56
  6. Step 6: Final answer
    x = 327,049.25

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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.