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Finding the Fourth Proportional to 459,134.40, 688,701.60 and 407,958.60

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Solution

The fourth proportional to 459,134.40, 688,701.60 and 407,958.60 is: 611,937.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,134.40 : 688,701.60 = 407,958.60 : x
  2. Step 2: Convert to fraction form
    459,134.40/688,701.60 = 407,958.60/x
  3. Step 3: Cross multiply
    459,134.40x = 688,701.60 × 407,958.60
  4. Step 4: Simplify right side
    459,134.40x = 280,961,740,553.76
  5. Step 5: Solve for x
    x = 280,961,740,553.76/459,134.40
  6. Step 6: Final answer
    x = 611,937.90

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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.