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Finding the Fourth Proportional to 459,776.80, 689,720.46 and 152,039.14

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Solution

The fourth proportional to 459,776.80, 689,720.46 and 152,039.14 is: 228,076.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,776.80 : 689,720.46 = 152,039.14 : x
  2. Step 2: Convert to fraction form
    459,776.80/689,720.46 = 152,039.14/x
  3. Step 3: Cross multiply
    459,776.80x = 689,720.46 × 152,039.14
  4. Step 4: Simplify right side
    459,776.80x = 104,864,505,578.80
  5. Step 5: Solve for x
    x = 104,864,505,578.80/459,776.80
  6. Step 6: Final answer
    x = 228,076.98

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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.