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Finding the Fourth Proportional to 470,585.23, 705,565.79 and 171,030.22

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Solution

The fourth proportional to 470,585.23, 705,565.79 and 171,030.22 is: 256,431.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,585.23 : 705,565.79 = 171,030.22 : x
  2. Step 2: Convert to fraction form
    470,585.23/705,565.79 = 171,030.22/x
  3. Step 3: Cross multiply
    470,585.23x = 705,565.79 × 171,030.22
  4. Step 4: Simplify right side
    470,585.23x = 120,673,070,310.47
  5. Step 5: Solve for x
    x = 120,673,070,310.47/470,585.23
  6. Step 6: Final answer
    x = 256,431.91

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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.