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Finding the Fourth Proportional to 542,482.52, 813,881.76 and 242,893.02

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Solution

The fourth proportional to 542,482.52, 813,881.76 and 242,893.02 is: 364,410.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,482.52 : 813,881.76 = 242,893.02 : x
  2. Step 2: Convert to fraction form
    542,482.52/813,881.76 = 242,893.02/x
  3. Step 3: Cross multiply
    542,482.52x = 813,881.76 × 242,893.02
  4. Step 4: Simplify right side
    542,482.52x = 197,686,198,609.32
  5. Step 5: Solve for x
    x = 197,686,198,609.32/542,482.52
  6. Step 6: Final answer
    x = 364,410.27

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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.