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Finding the Fourth Proportional to 276,001.60, 414,002.40 and 258,505.60

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Solution

The fourth proportional to 276,001.60, 414,002.40 and 258,505.60 is: 387,758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,001.60 : 414,002.40 = 258,505.60 : x
  2. Step 2: Convert to fraction form
    276,001.60/414,002.40 = 258,505.60/x
  3. Step 3: Cross multiply
    276,001.60x = 414,002.40 × 258,505.60
  4. Step 4: Simplify right side
    276,001.60x = 107,021,938,813.44
  5. Step 5: Solve for x
    x = 107,021,938,813.44/276,001.60
  6. Step 6: Final answer
    x = 387,758.40

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1.5x scale

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.