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Finding the Fourth Proportional to 470,403.72, 705,711.42 and 154,849.32

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Solution

The fourth proportional to 470,403.72, 705,711.42 and 154,849.32 is: 232,308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,403.72 : 705,711.42 = 154,849.32 : x
  2. Step 2: Convert to fraction form
    470,403.72/705,711.42 = 154,849.32/x
  3. Step 3: Cross multiply
    470,403.72x = 705,711.42 × 154,849.32
  4. Step 4: Simplify right side
    470,403.72x = 109,278,933,503.23
  5. Step 5: Solve for x
    x = 109,278,933,503.23/470,403.72
  6. Step 6: Final answer
    x = 232,308.82

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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.