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Finding the Fourth Proportional to 459,953.20, 688,617.60 and 407,465.20

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Solution

The fourth proportional to 459,953.20, 688,617.60 and 407,465.20 is: 610,035.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,953.20 : 688,617.60 = 407,465.20 : x
  2. Step 2: Convert to fraction form
    459,953.20/688,617.60 = 407,465.20/x
  3. Step 3: Cross multiply
    459,953.20x = 688,617.60 × 407,465.20
  4. Step 4: Simplify right side
    459,953.20x = 280,587,708,107.52
  5. Step 5: Solve for x
    x = 280,587,708,107.52/459,953.20
  6. Step 6: Final answer
    x = 610,035.34

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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.