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Finding the Fourth Proportional to 459,771.40, 688,101.90 and 403,784.20

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Solution

The fourth proportional to 459,771.40, 688,101.90 and 403,784.20 is: 604,310.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,771.40 : 688,101.90 = 403,784.20 : x
  2. Step 2: Convert to fraction form
    459,771.40/688,101.90 = 403,784.20/x
  3. Step 3: Cross multiply
    459,771.40x = 688,101.90 × 403,784.20
  4. Step 4: Simplify right side
    459,771.40x = 277,844,675,209.98
  5. Step 5: Solve for x
    x = 277,844,675,209.98/459,771.40
  6. Step 6: Final answer
    x = 604,310.48

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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.