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Finding the Fourth Proportional to 542,977.60, 816,021.60 and 474,548.80

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Solution

The fourth proportional to 542,977.60, 816,021.60 and 474,548.80 is: 713,182.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,977.60 : 816,021.60 = 474,548.80 : x
  2. Step 2: Convert to fraction form
    542,977.60/816,021.60 = 474,548.80/x
  3. Step 3: Cross multiply
    542,977.60x = 816,021.60 × 474,548.80
  4. Step 4: Simplify right side
    542,977.60x = 387,242,071,054.08
  5. Step 5: Solve for x
    x = 387,242,071,054.08/542,977.60
  6. Step 6: Final answer
    x = 713,182.41

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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.