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Finding the Fourth Proportional to 258,001.60, 387,002.40 and 202,014.40

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Solution

The fourth proportional to 258,001.60, 387,002.40 and 202,014.40 is: 303,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,001.60 : 387,002.40 = 202,014.40 : x
  2. Step 2: Convert to fraction form
    258,001.60/387,002.40 = 202,014.40/x
  3. Step 3: Cross multiply
    258,001.60x = 387,002.40 × 202,014.40
  4. Step 4: Simplify right side
    258,001.60x = 78,180,057,634.56
  5. Step 5: Solve for x
    x = 78,180,057,634.56/258,001.60
  6. Step 6: Final answer
    x = 303,021.60

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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.