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Finding the Fourth Proportional to 415,270.80, 623,197.80 and 178,783.20

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Solution

The fourth proportional to 415,270.80, 623,197.80 and 178,783.20 is: 268,300.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,270.80 : 623,197.80 = 178,783.20 : x
  2. Step 2: Convert to fraction form
    415,270.80/623,197.80 = 178,783.20/x
  3. Step 3: Cross multiply
    415,270.80x = 623,197.80 × 178,783.20
  4. Step 4: Simplify right side
    415,270.80x = 111,417,296,916.96
  5. Step 5: Solve for x
    x = 111,417,296,916.96/415,270.80
  6. Step 6: Final answer
    x = 268,300.34

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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.