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Finding the Fourth Proportional to 459,574.80, 689,380.75 and 160,085.67

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Solution

The fourth proportional to 459,574.80, 689,380.75 and 160,085.67 is: 240,134.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,574.80 : 689,380.75 = 160,085.67 : x
  2. Step 2: Convert to fraction form
    459,574.80/689,380.75 = 160,085.67/x
  3. Step 3: Cross multiply
    459,574.80x = 689,380.75 × 160,085.67
  4. Step 4: Simplify right side
    459,574.80x = 110,359,979,248.85
  5. Step 5: Solve for x
    x = 110,359,979,248.85/459,574.80
  6. Step 6: Final answer
    x = 240,134.97

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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.