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Finding the Fourth Proportional to 286,598.80, 429,898.20 and 269,102.80

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Solution

The fourth proportional to 286,598.80, 429,898.20 and 269,102.80 is: 403,654.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,598.80 : 429,898.20 = 269,102.80 : x
  2. Step 2: Convert to fraction form
    286,598.80/429,898.20 = 269,102.80/x
  3. Step 3: Cross multiply
    286,598.80x = 429,898.20 × 269,102.80
  4. Step 4: Simplify right side
    286,598.80x = 115,686,809,334.96
  5. Step 5: Solve for x
    x = 115,686,809,334.96/286,598.80
  6. Step 6: Final answer
    x = 403,654.20

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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.