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Finding the Fourth Proportional to 459,709.83, 689,763.06 and 175,485.69

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Solution

The fourth proportional to 459,709.83, 689,763.06 and 175,485.69 is: 263,304.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,709.83 : 689,763.06 = 175,485.69 : x
  2. Step 2: Convert to fraction form
    459,709.83/689,763.06 = 175,485.69/x
  3. Step 3: Cross multiply
    459,709.83x = 689,763.06 × 175,485.69
  4. Step 4: Simplify right side
    459,709.83x = 121,043,546,520.61
  5. Step 5: Solve for x
    x = 121,043,546,520.61/459,709.83
  6. Step 6: Final answer
    x = 263,304.24

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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.