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Finding the Fourth Proportional to 284,615.60, 426,923.40 and 164,877.35

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Solution

The fourth proportional to 284,615.60, 426,923.40 and 164,877.35 is: 247,316.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,615.60 : 426,923.40 = 164,877.35 : x
  2. Step 2: Convert to fraction form
    284,615.60/426,923.40 = 164,877.35/x
  3. Step 3: Cross multiply
    284,615.60x = 426,923.40 × 164,877.35
  4. Step 4: Simplify right side
    284,615.60x = 70,389,998,844.99
  5. Step 5: Solve for x
    x = 70,389,998,844.99/284,615.60
  6. Step 6: Final answer
    x = 247,316.03

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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.