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Finding the Fourth Proportional to 297,877.60, 446,816.40 and 284,975.20

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Solution

The fourth proportional to 297,877.60, 446,816.40 and 284,975.20 is: 427,462.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,877.60 : 446,816.40 = 284,975.20 : x
  2. Step 2: Convert to fraction form
    297,877.60/446,816.40 = 284,975.20/x
  3. Step 3: Cross multiply
    297,877.60x = 446,816.40 × 284,975.20
  4. Step 4: Simplify right side
    297,877.60x = 127,331,592,953.28
  5. Step 5: Solve for x
    x = 127,331,592,953.28/297,877.60
  6. Step 6: Final answer
    x = 427,462.80

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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.