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Finding the Fourth Proportional to 459,003.40, 688,505.10 and 407,827.60

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Solution

The fourth proportional to 459,003.40, 688,505.10 and 407,827.60 is: 611,741.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,003.40 : 688,505.10 = 407,827.60 : x
  2. Step 2: Convert to fraction form
    459,003.40/688,505.10 = 407,827.60/x
  3. Step 3: Cross multiply
    459,003.40x = 688,505.10 × 407,827.60
  4. Step 4: Simplify right side
    459,003.40x = 280,791,382,520.76
  5. Step 5: Solve for x
    x = 280,791,382,520.76/459,003.40
  6. Step 6: Final answer
    x = 611,741.40

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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.