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Finding the Fourth Proportional to 600,423.13, 900,743.82 and 284,877.10

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Solution

The fourth proportional to 600,423.13, 900,743.82 and 284,877.10 is: 427,367.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,423.13 : 900,743.82 = 284,877.10 : x
  2. Step 2: Convert to fraction form
    600,423.13/900,743.82 = 284,877.10/x
  3. Step 3: Cross multiply
    600,423.13x = 900,743.82 × 284,877.10
  4. Step 4: Simplify right side
    600,423.13x = 256,601,287,284.52
  5. Step 5: Solve for x
    x = 256,601,287,284.52/600,423.13
  6. Step 6: Final answer
    x = 427,367.43

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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.