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Finding the Fourth Proportional to 459,004.40, 688,506.60 and 407,828.60

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Solution

The fourth proportional to 459,004.40, 688,506.60 and 407,828.60 is: 611,742.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,004.40 : 688,506.60 = 407,828.60 : x
  2. Step 2: Convert to fraction form
    459,004.40/688,506.60 = 407,828.60/x
  3. Step 3: Cross multiply
    459,004.40x = 688,506.60 × 407,828.60
  4. Step 4: Simplify right side
    459,004.40x = 280,792,682,768.76
  5. Step 5: Solve for x
    x = 280,792,682,768.76/459,004.40
  6. Step 6: Final answer
    x = 611,742.90

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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.